Results 31 to 40 of about 35,710 (296)
On Squares of Cyclic Codes [PDF]
IEEE Transactions on Information Theory, 2019 The square $C^{*2}$ of a linear error correcting code $C$ is the linear code spanned by the component-wise products of every pair of (non-necessarily distinct) words in $C$. Squares of codes have gained attention for several applications mainly in the area of cryptography, and typically in those applications one is concerned about some of the ...
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On p-Adic Estimates of Weights in Abelian Codes over Galois Rings [PDF]
, 2005 Let p be a prime. We prove various analogues and generalizations of McEliece's theorem on the p-divisibility of weights of words in cyclic codes over a finite field of characteristic p. Here we consider Abelian codes over various Galois rings.
Katz, Daniel Jerome
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Cyclic codes over Z4 of even length [PDF]
, 2006 We determine the structure of cyclic codes over Z 4 for arbitrary even length giving the generator polynomial for these codes. We determine the number of cyclic codes for a given length.
Dougherty, Steven T., Ling, San
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Cyclic and Quasi-Cyclic DNA Codes
CoRR, 2021 draft, 16 ...
Adel Alahmadi +4 more
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Self-Dual Cyclic Codes Over M2(ℤ4)
Discussiones Mathematicae - General Algebra and Applications, 2022 In this paper, we study the structure of cyclic codes overM2(ℤ4) (the matrix ring of matrices of order 2 over ℤ4), which is perhaps the first time that the ring is considered as a code alphabet.
Bhowmick Sanjit +3 more
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On the distance distribution of duals of BCH codes [PDF]
, 1999 We derive upper bounds on the components of the distance distribution of duals of BCH codes. Roughly speaking, these bounds show that the distance distribution can be upper-bounded by the corresponding normal distribution. To derive the bounds we use the
Krasikov, I
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, 2021 Quasi-cyclic codes form an important class of algebraic codes that includes cyclic codes as a special subclass. This chapter focuses on the algebraic structure of quasi-cyclic codes, first. Based on these structural properties, some asymptotic results,
Güneri, Cem, Özkaya, Buket, Ling, San
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Double Cyclic Codes over \({\mathbb{F}_{q}+v\mathbb{F}_{q}}\)
Mathematics, 2020 In this paper, an algebraic structure of a type of double cyclic codes is investigated, which covers some existing codes as special cases. The paper presents generic results about the generating polynomials, minimal generating sets, matrices and dual ...
Tenghui Deng, Jing Yang
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Unique Generators for Cyclic Codes of Arbitrary Length over Fpmu/u3 and Their Applications
Journal of Mathematics, 2022 Cyclic codes play a very important role in the history of coding theory since they have good algebraic structures that can be widely used in coding and decoding.
Hongju Li +3 more
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A parallel Viterbi decoder for block cyclic and convolution codes [PDF]
, 2005 We present a parallel version of Viterbi's decoding procedure, for which we are able to demonstrate that the resultant task graph has restricted complexity in that the number of communications to or from any processor cannot exceed 4 for BCH codes.
Amarasinghe, Kosala +3 more
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