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… (More)
Wikipedia

Related topics

Related topics

25 relations
AN codesBCH codeBinary Golay codeBlock code
(More)

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2014
Highly Cited
2014
A Class of Three-Weight Cyclic Codes
Cyclic codes are a subclass of linear codes and have applicat ions in consumer electronics, data storage systems, and… (More)
  • table I
Is this relevant?
Highly Cited
2008
Highly Cited
2008
On the Weight Distributions of Two Classes of Cyclic Codes
Let q=p<sup>m</sup> where p is an odd prime, mges2, and 1lesklesm-1. Let Tr be the trace mapping from F<sub>q</sub> to F<sub>p… (More)
Is this relevant?
Highly Cited
2008
Highly Cited
2008
Weight distribution of some reducible cyclic codes
Let q = pm where p is an odd prime, m 3, k 1 and gcd(k,m) = 1. Let Tr be the trace mapping from Fq to Fp and ζp = e 2πi p . In… (More)
  • table 1
  • table 2
  • table 4
  • table 5
  • table 6
Is this relevant?
Highly Cited
2007
Highly Cited
2007
Skew-cyclic codes
We generalize the notion of cyclic codes by using generator polynomials in (non commutative) skew polynomial rings. Since skew… (More)
  • table 1
  • table 2
Is this relevant?
Highly Cited
2001
Highly Cited
2001
On the algebraic structure of quasi-cyclic codes I: Finite fields
A new algebraic approach to quasi-cyclic codes is introduced. The key idea is to regard a quasi-cyclic code over a field as a… (More)
Is this relevant?
Highly Cited
1999
Highly Cited
1999
Cyclic Codes and Self-Dual Codes Over F2 + uF2
We introduce linear cyclic codes over the ring F 2 + uF 2 = f0; 1; u; u = u + 1g, where u 2 = 0. This ring shares many properties… (More)
Is this relevant?
Highly Cited
1995
Highly Cited
1995
Modular and p-adic Cyclic Codes
This paper presents some basic theorems giving the structure of cyclic codes of length n over the ring of integers modulo pa and… (More)
  • table 1
Is this relevant?
Highly Cited
1994
Highly Cited
1994
The Z4-linearity of Kerdock, Preparata, Goethals, and related codes
Certain notorious nonlinear binary codes contain more codewords than any known linear code. These include the codes constructed… (More)
  • figure 1
  • figure 2
Is this relevant?
Highly Cited
1992
Highly Cited
1992
Constructions of binary constant-weight cyclic codes and cyclically permutable codes
A general theorem is proved showing how to ohtain a constant-weight binary cyclic code from a p-ary linear cyclic code, where p… (More)
Is this relevant?
Highly Cited
1986
Highly Cited
1986
On the minimum distance of cyclic codes
Ahstucrcf-The main result is a new lower bound for the min imum distance of cyclic codes that includes earlier bounds (i.e., BCH… (More)
Is this relevant?