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How to generate cyclically permutable codes from cyclic codes

open access: yesHow to generate cyclically permutable codes from cyclic codes
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Products of cyclic permutations

Publicationes Mathematicae Debrecen, 2022
The author considers the case when a cyclic permutation of length \(n\) is a product of \(r\) cyclic permutations of lengths \(n_ 1,n_ 2,\ldots,n_ r\). In this case \[ n\leq 1-r+\sum^ r_{i=1} n_ i. \] In particular, the author studies the extremal case where \(n_ 1,\ldots,n_ r\) are such that \(n=1-r+\sum^ r_{i=1} n_ i.\) He proves conditions ...
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New cyclically permutable codes

2011 IEEE Information Theory Workshop, 2011
A cyclically permutable code is a binary code the codewords of which are cyclically distinct and have full cyclic order. The purpose of this paper is to construct cyclically permutable codes by means of linear p-ary constacyclic codes, where p denotes a prime number.
V. C. da Rocha, J. S. Lemos-Neto
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