Cyclic code

Known as: Idempotent of a code, Constacyclic code, Negacyclic code

In coding theory, a cyclic code is a block code, where the circular shifts of each codeword gives another word that belongs to the code. They are…

Papers overview

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2015

In this paper, an explicit expression of the weak-locator polynomial for p-ary quadratic residue codes is presented by a…

2008

Skew Hadamard designs (4n – 1, 2n – 1, n – 1) are associated to order 4n skew Hadamard matrices in the natural way. We study the…

2003

We extend a result of Ding and Helleseth on the autocorrelation of a cyclotomic generator in several ways. We define and analyze…

1999

We discovered that a (145, 32) binary cyclic code generated by the product of an irreducible polynomial of degree 28 with…

1995

For (n, q)=1 V a q/sup m/-ary cyclic code of length n and with generator polynomial g(x), we show that there exists a basis for F…

1978

An integer linear programming problem and an additional divisibility condition are described such that they have a common…

1971

This paper shows that, although systematic cyclic codes have equal error protection for all information digits, there exist non…

1970

Cyclic product codes are useful for two reasons. First, they impart a great deal of algebraic structure to a subclass of the…

1967

A subclass of cyclic codes of composite block length n=n' \cdot n" , with n' and n" relatively prime, is studied. It is shown how…

1966

The sensitivity of a binary block code to loss of synchronism (misplacement of the "commas" separating codewords) can be…