# A report on Coding theory

Study of the properties of codes and their respective fitness for specific applications.

- Coding theory15 related topics with Alpha

## Information theory

3 linksScientific study of the quantification, storage, and communication of digital information.

Scientific study of the quantification, storage, and communication of digital information.

Channel coding is concerned with finding such nearly optimal codes that can be used to transmit data over a noisy channel with a small coding error at a rate near the channel capacity.

## Error detection and correction

2 linksIn information theory and coding theory with applications in computer science and telecommunication, error detection and correction (EDAC) or error control are techniques that enable reliable delivery of digital data over unreliable communication channels.

## Data compression

2 linksProcess of encoding information using fewer bits than the original representation.

Process of encoding information using fewer bits than the original representation.

Other topics associated with compression include coding theory and statistical inference.

## Hamming distance

2 linksNumber of positions at which the corresponding symbols are different.

Number of positions at which the corresponding symbols are different.

A major application is in coding theory, more specifically to block codes, in which the equal-length strings are vectors over a finite field.

## Polynomial code

2 linksIn coding theory, a polynomial code is a type of linear code whose set of valid code words consists of those polynomials (usually of some fixed length) that are divisible by a given fixed polynomial (of shorter length, called the generator polynomial).

## Data communication

1 linksTransfer and reception of data in the form of a digital bitstream or a digitized analog signal over a point-to-point or point-to-multipoint communication channel.

Transfer and reception of data in the form of a digital bitstream or a digitized analog signal over a point-to-point or point-to-multipoint communication channel.

The theoretical aspects of data transmission are covered by information theory and coding theory.

## Cyclic code

1 linksIn coding theory, a cyclic code is a block code, where the circular shifts of each codeword gives another word that belongs to the code.

## BCH code

1 linksIn coding theory, the Bose–Chaudhuri–Hocquenghem codes (BCH codes) form a class of cyclic error-correcting codes that are constructed using polynomials over a finite field (also called Galois field).

## Mathematics

0 linksArea of knowledge that includes such topics as numbers , formulas and related structures (algebra), shapes and the spaces in which they are contained (geometry), and quantities and their changes (calculus and analysis).

Area of knowledge that includes such topics as numbers , formulas and related structures (algebra), shapes and the spaces in which they are contained (geometry), and quantities and their changes (calculus and analysis).

Coding theory, including error correcting codes and a part of cryptography

## Repetition code

0 linksIn coding theory, the repetition code is one of the most basic error-correcting codes.