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)
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Highly Cited
2014
Highly Cited
2014
Cyclic codes are a subclass of linear codes and have applicat ions in consumer electronics, data storage systems, and… (More)
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Highly Cited
2008
Highly Cited
2008
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)
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Highly Cited
2008
Highly Cited
2008
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)
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Highly Cited
2007
Highly Cited
2007
We generalize the notion of cyclic codes by using generator polynomials in (non commutative) skew polynomial rings. Since skew… (More)
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Highly Cited
2001
Highly Cited
2001
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)
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Highly Cited
1999
Highly Cited
1999
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)
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Highly Cited
1995
Highly Cited
1995
This paper presents some basic theorems giving the structure of cyclic codes of length n over the ring of integers modulo pa and… (More)
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Highly Cited
1994
Highly Cited
1994
Certain notorious nonlinear binary codes contain more codewords than any known linear code. These include the codes constructed… (More)
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Highly Cited
1992
Highly Cited
1992
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)
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Highly Cited
1986
Highly Cited
1986
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)
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