Discrete Logarithms and Signature Generation

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What is the computationally demanding task in signature generation based on the text?

Discrete logarithm recovery

Elliptic curve cryptography comparison

Exponential calculation g^k mod p (correct)

Multiplicative inverse determination

Why is it infeasible for an opponent to recover k from r based on the text?

Global domain parameters definition

Due to the difficulty of taking discrete logarithms (correct)

Efficiency advantage of elliptic curve cryptography

Because of the elliptic curve digital signature algorithm

What is a key feature of ECDSA's security according to the text?

Efficiency advantage of elliptic curve cryptography

Use of multiplicative inverses

Smaller key bit length (correct)

Complex key generation process

In ECDSA, what do all participants in the digital signature scheme use?

Global domain parameters defining an elliptic curve and a point of origin Signup and view all the answers

Why can a user precalculate a number of values of r in signature generation?

Because they do not depend on the message to be signed Signup and view all the answers

What is the main benefit of ECDSA's use of elliptic curve cryptography?

Efficiency advantage leading to smaller key sizes Signup and view all the answers

What does the signer use to compute their public key in the Elliptic Curve Digital Signature Algorithm (ECDSA)?

A random number and the point of origin Signup and view all the answers

In ECDSA, what are the two integers that form a signature?

r and s Signup and view all the answers

What parameter is compared to 'r' when verifying an ECDSA signature?

The value 'v' Signup and view all the answers

What does 'n' represent in the global domain parameters of ECDSA?

The order of point G Signup and view all the answers

What is the purpose of generating a pair of keys in ECDSA?

To ensure secure authentication Signup and view all the answers

Which family of elliptic curves is used in ECDSA for cryptographic applications?

Binary curves over GF(2m) Signup and view all the answers

How does RSA-PSS ensure that signing the same message twice using the same private key yields two different signatures?

By incorporating a pseudorandom number called the salt that changes with every use. Signup and view all the answers

What is the main objective of appending constants in the process of forming the message digest in RSA-based digital signature schemes?

To make it more difficult for adversaries to find another message with the same message digest. Signup and view all the answers

What security benefit does using padding in digital signature schemes provide?

It makes it harder for an adversary to find two messages that map to the same message digest. Signup and view all the answers

What role does the salt play in the RSA-PSS digital signature scheme?

It changes with every use to produce different signatures for the same message. Signup and view all the answers

What is the purpose of treating the octet string EM as an unsigned, nonnegative binary integer m in RSA signature formation?

To convert it into a format suitable for encryption as per RSA requirements. Signup and view all the answers

Why is it important to convert the signature value s into an octet string of length k octets in RSA signature formation?

To match the length requirement based on the RSA modulus n. Signup and view all the answers

Discrete Logarithms and Signature Generation

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