Cryptography Chapter 6: Digital Signatures

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Questions and Answers

Which of the following best describes non-repudiation in the context of digital signatures?

  • The capacity to send messages without revealing the sender's identity.
  • The ability to modify messages without detection.
  • The process of encrypting messages using the public key.
  • The assurance that only the signer can create a signature. (correct)

What is the primary role of message authentication in digital signatures?

  • To guarantee that the message originates from a legitimate sender. (correct)
  • To allow the receiver to alter the message if necessary.
  • To ensure messages remain confidential from attackers.
  • To provide the means for efficient transmission of messages.

How does digital signature verification ensure data integrity?

  • By making it impossible for the sender to deny sending the message.
  • By encrypting the data during transmission.
  • By matching a hash of the received data to the stored hash. (correct)
  • By requiring a password to access the signed document.

Which of the following statements about digital signature algorithms is true?

<p>They provide a mechanism to ensure the non-repudiation of signature creation. (B)</p> Signup and view all the answers

What role do digital signatures play in non-repudiation?

<p>They verify the signer's identity and prevent denial of the signed transaction. (C)</p> Signup and view all the answers

What is the main purpose of digital certificates in digital signatures?

<p>To authenticate that the public key belongs to the claimed owner. (A)</p> Signup and view all the answers

Which key is used by the signer to encrypt the signature-related data in digital signatures?

<p>Private key (C)</p> Signup and view all the answers

Which cryptographic method is primarily used for creating digital signatures?

<p>Public key cryptography (D)</p> Signup and view all the answers

What is the primary way to verify the integrity of a signed document?

<p>Ensuring the signature can be decrypted with the public key. (B)</p> Signup and view all the answers

What is the primary reason for signing a hash of the data instead of the data itself?

<p>Efficiency, as signing a hash is less computationally expensive. (C)</p> Signup and view all the answers

How does a verifier determine the validity of a digital signature?

<p>By comparing the hash value and the output of the verification algorithm. (D)</p> Signup and view all the answers

Which aspect of digital signatures ensures that the signer cannot deny signing the data in the future?

<p>The private key's exclusivity to the signer. (D)</p> Signup and view all the answers

What does the output of the verification algorithm indicate?

<p>The validity of the digital signature. (C)</p> Signup and view all the answers

What is one of the main advantages of implementing digital signatures?

<p>It ensures data integrity and confirms the signer's identity. (A)</p> Signup and view all the answers

Why might RSA be a poor choice for signing large data directly?

<p>Signing large data with RSA involves expensive modular exponentiation. (B)</p> Signup and view all the answers

What is the role of the hash function in the digital signature process?

<p>To create a unique representation of the data. (B)</p> Signup and view all the answers

What characteristic of the private key aids in maintaining non-repudiation in digital signatures?

<p>Only the intended signer possesses the private key. (B)</p> Signup and view all the answers

What is the primary benefit of non-repudiation provided by digital signatures?

<p>It ensures the authenticity of the signer's identity. (D)</p> Signup and view all the answers

What role does the private key play in digital signatures?

<p>It signs the document to authenticate the sender's identity. (C)</p> Signup and view all the answers

Why is key management crucial in the context of digital signatures?

<p>It prevents the misuse of both public and private keys. (C)</p> Signup and view all the answers

What does the term 'integrity verification' refer to in digital signatures?

<p>Ensuring the message has not been altered. (D)</p> Signup and view all the answers

Which aspect of digital signatures contributes to positive environmental effects?

<p>Decreased need for physical document transport. (D)</p> Signup and view all the answers

What is the purpose of a digital signature algorithm?

<p>To provide a mechanism for signing and verifying signatures. (C)</p> Signup and view all the answers

What is the primary purpose of a digital signature?

<p>To verify the authenticity of data (B)</p> Signup and view all the answers

What feature of digital signatures helps confirm that a document hasn't been altered?

<p>Asymmetric cryptography (B)</p> Signup and view all the answers

How do digital signatures contribute to cost savings for organizations?

<p>By minimizing expenses on physical document management. (A)</p> Signup and view all the answers

What does the term 'non-repudiation' refer to in the context of digital signatures?

<p>The inability to deny the origin of a message (D)</p> Signup and view all the answers

How does a digital signature enhance message authentication?

<p>By creating a virtual fingerprint unique to the sender (C)</p> Signup and view all the answers

Which of the following is a benefit of using digital signatures?

<p>They guarantee legal validity of electronic documents (C)</p> Signup and view all the answers

What role does a hash function play in the signing operation?

<p>It generates a unique digest of the data (A)</p> Signup and view all the answers

Digital signatures provide message integrity but not non-repudiation.

<p>False (B)</p> Signup and view all the answers

Data integrity is guaranteed even if an attacker modifies the signed data.

<p>False (B)</p> Signup and view all the answers

The digital signature verification process uses the signer's secret key to validate the signature.

<p>False (B)</p> Signup and view all the answers

Digital signatures require both a private key for signing and a public key for verification.

<p>True (A)</p> Signup and view all the answers

A digital signature can only be decrypted using the signer's private key.

<p>False (B)</p> Signup and view all the answers

Digital certificates are issued by trusted third-party certificate authorities.

<p>True (A)</p> Signup and view all the answers

The recipient must use their own private key to verify a digital signature.

<p>False (B)</p> Signup and view all the answers

Public key cryptography is also referred to as symmetric cryptography.

<p>False (B)</p> Signup and view all the answers

The only way to decrypt a digital signature is with the signer's public key.

<p>True (A)</p> Signup and view all the answers

Digital signatures can authenticate the integrity of data as well as the identity of the signer.

<p>True (A)</p> Signup and view all the answers

Digital signatures are solely based on symmetric cryptography for their functionality.

<p>False (B)</p> Signup and view all the answers

The issuer's digital signature is included in digital certificates to verify authenticity.

<p>True (A)</p> Signup and view all the answers

A digital signature is created by the public key of the signer.

<p>False (B)</p> Signup and view all the answers

The verification algorithm compares the output from the verification key and the hash value of the received data.

<p>True (A)</p> Signup and view all the answers

Signing a hash instead of the entire data is less efficient due to the size of the hash.

<p>False (B)</p> Signup and view all the answers

Digital signatures provide authentication but do not ensure the identity of the signer.

<p>False (B)</p> Signup and view all the answers

The process of signing data with RSA involves modular exponentiation, making it expensive for large datasets.

<p>True (A)</p> Signup and view all the answers

Once a digital signature is generated, the signer can repudiate it at any time.

<p>False (B)</p> Signup and view all the answers

A hash value is a random representation of any length of the data being signed.

<p>False (B)</p> Signup and view all the answers

The verifier must use the signer's public key to check the validity of a digital signature.

<p>True (A)</p> Signup and view all the answers

Digital signatures primarily enhance the confidentiality of the signed data.

<p>False (B)</p> Signup and view all the answers

Digital signatures are not accepted as legally binding in most countries.

<p>False (B)</p> Signup and view all the answers

The public key infrastructure (PKI) standard ensures that keys are made and stored securely.

<p>True (A)</p> Signup and view all the answers

Digital signatures significantly prolong the document signing and exchange process.

<p>False (B)</p> Signup and view all the answers

Organizations can achieve cost savings by utilizing digital signatures.

<p>True (A)</p> Signup and view all the answers

A digital signature creates a virtual fingerprint unique to an individual or entity.

<p>True (A)</p> Signup and view all the answers

Digital signatures can only be used to verify the authenticity of images.

<p>False (B)</p> Signup and view all the answers

The signing operation in digital signatures uses a signing key to produce a signature over raw data.

<p>True (A)</p> Signup and view all the answers

Asymmetric cryptography is one of the security features embedded in digital signatures.

<p>True (A)</p> Signup and view all the answers

Timestamping is a feature that enhances the security capabilities of digital signatures.

<p>True (A)</p> Signup and view all the answers

The private key is used to decrypt the data associated with a digital signature.

<p>False (B)</p> Signup and view all the answers

A digital signature can be generated without the use of a signing key.

<p>False (B)</p> Signup and view all the answers

Digital signatures can help prevent tampering of electronic documents.

<p>True (A)</p> Signup and view all the answers

Digital signatures only work with plaintext messages and do not involve any cryptographic processes.

<p>False (B)</p> Signup and view all the answers

Flashcards

Digital Signature

A method of authenticating documents, ensuring the sender's identity and the document's integrity.

Public Key Cryptography

A type of cryptography based on mathematical relationships between two keys (public and private).

Private Key

A secret key used to create a digital signature.

Public Key

A publicly available key that can verify digital signatures.

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Digital Signature Algorithm (DSA)

An algorithm for creating and verifying digital signatures.

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Digital Certificate

A document used to verify a public key's authenticity.

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Certificate Authority (CA)

A trusted third party that issues digital certificates.

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RSA

A well-known algorithm used in public-key cryptography.

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Time-critical application example

Digital signatures are useful when quick action is needed.

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PKI standard

Public key infrastructure standard that ensures safe key generation and storage.

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Legal Compliance

Digital signatures are globally accepted and legally valid in many countries.

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Time Savings

Digital signatures reduce the time spent on physical documents.

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Cost Savings

Organizations save money by going paperless, reducing resource use.

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Environmental Benefits

Reduced paper use lowers environmental impact.

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Verification Algorithm

A process that checks if a digital signature is valid using the public key and the signed data's hash.

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Traceability

Digital signatures provide an audit trail for record-keeping.

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Hash Function

Creates a unique, fixed-size representation (hash) of any data, used to sign the data's condensed version.

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Encryption in Digital Signatures

Used for authentication and secure communication.

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RSA Algorithm

An algorithm (often used) for digital signature, especially when dealing with large amounts of signing data, which relies on modular exponentiation.

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Asymmetric Algorithms

Algorithms that use different keys for encryption and decryption. One key is for encryption and is shared publicly, the other key for decryption must be kept secret.

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Data Integrity

Ensuring that the data has not been modified (altered or tampered with) after the sender signed it.

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Authentication

Verifying the sender's identity accurately

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Efficiency in Signing

Signing a hash of the data is more efficient than signing the entire data (especially using RSA-type algorithms).

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Digital Signature (DS)

A mathematical method for verifying the authenticity and integrity of digital data using public key cryptography.

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Non-repudiation

The ability to prove that a specific sender actually created a message or document, preventing them from denying their involvement.

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Message Authentication

Verifying the sender's identity by ensuring that the digital signature was created only by the individual possessing the corresponding private key.

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How does DS ensure data integrity?

If an attacker alters the data, the verification process at the receiver's end will fail because the hash of the modified data and the output of the verification algorithm won't match.

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Signing Key

A private key used to create a digital signature. Only the owner of the key can use it to sign data.

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Verification Key

A public key used to verify a digital signature. Anyone can have access to this key.

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Hash Digest

The output of a hash function. It's a unique code that represents the original data.

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What is encrypted in a digital signature?

The combination of the original data (plaintext) and its hash digest is encrypted using the sender's private key.

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Asymmetric Cryptography in Digital Signatures

Digital signatures use asymmetric cryptography, where a pair of keys (public and private) is used to secure data. The private key is used to sign, the public key is used to verify.

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Benefits of Digital Signatures

Digital signatures provide authenticity (verifying sender's identity), integrity (ensuring data hasn't changed), and non-repudiation (prevents the sender from denying they sent the data).

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Timestamping

Adds a time stamp to a digital signature, proving the time of creation.

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Trust Service Provider (TSP)

An entity that validates digital certificates and ensures the authenticity of the public key used for signing.

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Why sign a hash instead of data directly?

Signing a hash (a unique code representing the data) is more efficient than signing the entire data, especially with algorithms like RSA.

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What problem do Asymmetric Algorithms solve?

They address the issue of authentication in public key cryptography, ensuring that the message truly comes from the claimed sender and wasn't forged.

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What's the purpose of a digital signature?

Digital signatures protect the integrity of digital data by ensuring that it hasn't been altered after signing. They also guarantee the authenticity of the sender's identity, preventing them from denying their involvement.

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How do digital signatures work?

A hash function creates a unique fingerprint (hash) of the data. The sender then encrypts the hash using their private key to create the digital signature. The recipient uses the sender's public key to decrypt the signature and verify the hash against the data. If it matches, the signature is valid, and the data is verified.

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What's the role of a Certificate Authority (CA) in Digital Signatures?

CAs are trusted entities that verify the identity of the individuals or organizations requesting digital certificates. They also certify the public key of the sender, ensuring its authenticity. This adds an extra layer of trust to the digital signature process.

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What is Non-repudiation?

Non-repudiation is the ability to prove that a specific sender actually created a message or document. This means the sender cannot deny that they sent the message.

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How does a Digital Signature ensure Data Integrity?

A digital signature uses a hash function to create a unique fingerprint of the data. If anyone changes the message, the hash won't match, proving the data has been tampered with.

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What is the Importance of Digital Signature?

Digital Signatures are crucial because they provide non-repudiation, message authentication, and data integrity. This ensures secure and trustworthy communication.

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What is a digital signature?

A digital signature is a method used to ensure the authenticity and integrity of a digital message or document. It uses cryptography to verify the sender's identity and ensure that the data has not been tampered with.

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How does a digital signature ensure authenticity?

Digital signatures use public-key cryptography. The sender uses their private key to create the signature. The receiver uses the sender's corresponding public key to verify the signature. If the verification is successful, it proves that the message originated from the owner of the private key.

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What is the role of a hash function in digital signatures?

A hash function is used to create a unique, fixed-size representation (hash) of the data. This hash is then signed using the sender's private key. The receiver uses the hash to verify the integrity of the data.

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What is the PKI standard?

The Public Key Infrastructure (PKI) standard ensures that digital keys are generated and stored securely. This helps maintain trust and security in digital signatures.

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How does a digital signature help with time-critical applications?

Digital signatures can be timestamped, providing evidence of the exact time the signature was created. This is useful for transactions like stock trades or legal proceedings where precise timing is crucial.

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What are the benefits of digital signatures for businesses?

Digital signatures provide:

  • Time Savings: Streamlining document signing and exchange.
  • Cost Savings: Reducing paper use, printing, and storage costs.
  • Environmental Benefits: Reducing paper waste and transportation costs.
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How are digital signatures used in legal proceedings?

Digital signatures are legally recognized in many countries. They provide a secure way to sign documents and agreements electronically, guaranteeing authenticity and non-repudiation.

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Why is traceability important with digital signatures?

Digital signatures create an audit trail that allows for tracking the history of changes made to a document. This helps maintain accountability and transparency throughout the document lifecycle.

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What are some common applications of digital signatures?

Digital signatures are used in a wide range of applications, such as:

  • Financial transactions: Securely signing financial documents and agreements.
  • Legal documents: Verifying the authenticity of legal documents and contracts.
  • Software distribution: Ensuring authenticity and integrity of software downloads.
  • Email security: Providing authentication and non-repudiation when sending sensitive emails.
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Digital Signature Algorithm

A set of rules used to create and verify digital signatures. It allows two operations: signing and verification.

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How does a digital signature work?

It combines the data with its unique 'hash' and encrypts it using the sender's private key. The receiver uses the sender's public key to decrypt and verify authenticity and data integrity.

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Data Integrity in Digital Signatures

Digital signatures guarantee that the data hasn't been altered after signing. If any change occurs, the verification process will fail.

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Authentication in Digital Signatures

The receiver uses the sender's public key to verify the signature, confirming the sender's identity.

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Non-repudiation in Digital Signatures

It prevents the sender from denying they sent the data. The signature proves their involvement.

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Timestamping in Digital Signatures

It adds a timestamp to the signature, proving when the data was signed.

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Study Notes

Course Information

  • Course Title: Cryptography (Classic & Modern)
  • Institution: King Khalid University
  • Department: College of Computer Science
  • Instructor: Dr. Ahmed AlMokhtar Ben Hmida

Chapter 6: Digital Signature & Digital Signature Algorithm

  • Topic: Digital Signature Principle

  • Digital signatures are public-key primitives for message authentication. In the physical world, handwritten signatures are used. Digital signatures bind a person/entity to digital data. Digital signatures are independently verifiable by the receiver and third parties. They use a cryptographic value from data and a secret key known only by the signer. The receiver needs assurance the message belongs to the sender, and they cannot deny its creation. This is critical in business.

  • Topic: Asymmetric Encryption

  • Asymmetric encryption uses two different keys: one for encryption, the other for decryption. The public key encrypts, and the private key decrypts. The private and public keys must be generated for the receiver of a message.

  • Topic: Digital Signature Process steps

  • Step 1: Alice encrypts a message with Bob's public key.

  • Step 2: The encrypted message is sent to Bob.

  • Step 3: Bob decrypts the message with his private key.

  • Topic: Importance of Hashing in Digital Signatures

  • Hashing is used instead of directly signing data because it's more efficient. A hash of data is a unique representation. Signing the hash is more efficient than signing the whole data.

  • Topic: Digital Signature Model

  • The model of digital signature schemes is shown in a diagram. The signer's private key and data are hashed to generate a signature. The verifier uses the signer's public key and received data to verify the signature. The hash of the received data is compared to the verification algorithm's output.

  • Topic: Digital Signature Attacks

  • Chosen message attack: The attacker obtains the victim's public key or tricks them into signing a document they don't intend.

  • Known message attack: The attacker has messages and a key, forging the victim's signature.

  • Key-only attack: The attacker only has the victim's public key, recreating their signature.

  • Topic: Benefits of Digital Signatures

  • Security Capabilities: Prevents alteration, authenticates signatures. Includes asymmetric cryptography, PINs, checksums and cyclic redundancy checks (CRCs), and validation by Certification authorities and trust service providers (TSP).

  • Timestamping: Provides date and time of a digital signature, helpful in cases like stock trades and legal proceedings.

  • Global Acceptance and Compliance: Vendors use globally accepted public-key infrastructure (PKI) standards that are legally binding in many countries.

  • Time Savings: Reduces physical document processes.

  • Cost Savings: Paperless processes reduce physical costs.

  • Environmental Benefits: Reduces paper use and transportation.

  • Topic: Digital Signature Principle

  • A digital signature is an encryption form that enables authentication. Encryption with a person's private key only allows that person to decrypt the information.

  • Topic: DSA Algorithm

  • DSA: Digital Signature Algorithm, a federal standard for digital signatures. Based on modular exponentiation and discrete logarithmic problems (hard to solve via brute force).

  • DSA Advantages: robust security and stability, faster key creation, less storage space, patent-free worldwide use.

  • Topic: DSA Disadvantages

  • Limited Key Lengths: rigid key management, limits application use cases.

  • Not Incremental: Cannot be modified after creation. - Relatively New Algorithm- Less research and testing

  • Topic: How DSA Works

  • DSA uses two keys: the sender's private key and the recipient's public key.

  • Message signing: Sender signs the message with their private key.

  • Verification: Recipient verifies the message's authenticity using the sender's public key.

  • Topic: Parameter Generation

  • A user must select a hash function for the algorithm and its bit length. Selecting a key length that is a multiple of 64, between 512-1024 bits, or 2048/3072, as per standards. Prime numbers and integers must be determined.

  • Topic: Per-user Keys

  • Public key (y) is calculated from a private key (x) using g^x mod p.

  • Topic: Signature Generation

  • Hash the message to get the digest.

  • Use a formula to get the values of r and s.

  • The signature r,s, is bundled with the message.

  • Topic: Signature Verification

  • The recipient retrieves the message, the calculated signature (r,s) and needed variables.

  • A formula is used to calculate a verification component v

  • v is compared with the received value of r, confirming the signature.

  • Topic: Encryption with Digital Signatures

  • Digital signatures are used along with standard encryption techniques. The sender's message is first encrypted using the recipient's public key, and then the encrypted message is signed with the sender's private key. Key exchange can be a problem without digital signatures.

  • Topic: How Sender is Authenticated by the Algorithm

  • The sender's unique private key generates the signature. The recipient verifies this signature with the sender's public key. Legitimate signature confirms the sender's identity.

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