Error Detection and Correction in Code

The minimum number of positions in which two code words differ.

A method of error control coding that adds redundant bits to a message to detect and correct errors during transmission.

A type of code that uses a fixed-length codeword for each symbol in the alphabet.

A type of code where different symbols in the alphabet are assigned different length codewords.

The process of converting information from one form to another to make it suitable for transmission over a communication channel.

The process of converting a received signal back into its original form, retrieving the information.

A measure of the uncertainty associated with a random variable.

The ratio of the number of information bits (k) to the total number of bits (n) in a codeword (n > k).

The measure of how efficiently information is conveyed by a language, calculated as the average information per symbol divided by the maximum possible information per symbol.

The average information per symbol in a language, calculated as the sum of probabilities of each symbol multiplied by their corresponding information.

The number of bits required to represent a particular symbol in a message.

The number of bits required to represent a message with a specific number of symbols and a specified alphabet size.

The ability of a code to detect a certain number of errors without correcting them.

The ability of a code to correct a certain number of errors by identifying and replacing them with the correct bits.

The conditional entropy of Y given X, representing the uncertainty remaining in Y after learning the value of X.

A code that uses fewer bits to encode frequently occurring symbols and more bits for less frequent ones, aiming to minimize the average codeword length.

A code that uses prefix-free codewords, ensuring that no codeword is a prefix of another, preventing ambiguity.

The process of adding redundant bits to a message to increase its resistance to errors during transmission.

The process of adding redundant bits to a message to reduce the probability of errors during transmission, making it easier to detect and correct errors.

The process of adding redundant bits to a message, usually using a specific algorithm to ensure that the code can detect or correct errors.

A type of error control code that encodes data in blocks of fixed length.

A type of error control code that uses a sliding window to encode data bit by bit.

An algorithm for constructing optimal prefix codes, minimizing the average codeword length by assigning shorter codes to more frequent symbols.

The unit of measurement for information when the base of the logarithm is 2.

The unit of measurement for information when the base of the logarithm is 10.

The unit of measurement for information when the base of the logarithm is e (Euler's number).

The set of all possible outcomes of a random experiment.

The number of positions in which two code words differ.

A codeword used for a Hamming Code in which a single bit error can be identified and corrected.

A codeword used for a Hamming Code that uses 3 parity bits to identify a single bit error in the code.

A codeword used for a Hamming Code that uses 5 parity bits to identify a single bit error in the code.

A codeword used for a Hamming Code that uses 4 parity bits to identify a single bit error in the code.