Results 11 to 20 of about 520,695 (298)
A Note on Repeated-Root Cyclic Codes [PDF]
IEEE Transactions on Information Theory, 1991 In papers by Castagnoli et al. and Van Lint, cyclic codes with repeated roots are analyzed. Both papers fail to acknowledge a previous work by Chen, dating back to 1969, which includes an analysis of even, length binary cyclic codes.
Morelos-Zaragoza, Robert H
core +6 more sources
Polycyclic codes over Galois rings with applications to repeated-root constacyclic codes [PDF]
Finite Fields and Their Applications, 2012 Cyclic, negacyclic and constacyclic codes are part of a larger class of codes called polycyclic codes; namely, those codes which can be viewed as ideals of a factor ring of a polynomial ring.
Lopez-Permouth, Sergio R. +3 more
core +3 more sources
Repeated-root Constacyclic Codes with Optimal Locality [PDF]
, 2021 A code is called a locally repairable code (LRC) if any code symbol is a function of a small fraction of other code symbols. When a locally repairable code is employed in a distributed storage systems, an erased symbol can be recovered by accessing only a small number of other symbols, and hence alleviating the network resources required during the ...
Wei Zhao, Kenneth W. Shum, Shenghao Yang
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MDS Symbol-Pair Codes from Repeated-Root Cyclic Codes [PDF]
Designs, Codes and Cryptography, 2020 arXiv admin note: text overlap with arXiv:2010 ...
Junru Ma, Jinquan Luo
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On Repeated-root Cyclic Codes [PDF]
IEEE Transactions on Information Theory, 1991 A parity-check matrix for a q-ary repeated-root cyclic code is derived using the Hasse derivative. Then the minimum distance of a q-ary repeated-root cyclic code is expressed in terms of the minimum distance of a certain simple-root cyclic code. With the help of this result, several binary repeated-root cyclic codes of lengths up to n=62 are shown to ...
Guy Castagnoli +3 more
semanticscholar +2 more sources
Squaring Construction For Repeated-Root Cyclic Codes
, 2010 {"references": ["E. Rains and N.J.A. Sloane, \"Self-dual codes,\" in Handbook of Coding\nTheory, V.S. Pless and W.C. Huffman (Editors), Elsevier, Amsterdam,\npp. 177-294, 1998.", "J. H. Conway and V. Pless, \"On the enumeration of self-dual codes,\" J.\nCombinatorial Theory, 28A, 26-53, 1980.", "F. J. MacWilliams and N. J. A.
O.P. Vinocha +2 more
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Repeated-root constacyclic codes of length $2\ell^mp^n$ [PDF]
, 2014 For any different odd primes $\ell$ and $p$, structure of constacyclic codes of length $2\ell^mp^n$ over a finite field $\mathbb F_q$ of characteritic $p$ and their duals is established in term of their generator polynomials. Among other results, all linear complimentary dual and self-dual constacyclic codes of length $2\ell^mp^n$ over $\mathbb F_q ...
Bocong Chen, Hai Q. Dinh, Hongwei Liu
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Repeated-root constacyclic codes of length $3lp^{s}$ and their dual codes [PDF]
Finite Fields and Their Applications, 2016 Let $p\neq3$ be any prime and $l\neq3$ be any odd prime with $gcd(p,l)=1$. $F_{q}^{*}=\langle \rangle$ is decomposed into mutually disjoint union of $gcd(q-1,3lp^{s})$ coset over the subgroup $\langle ^{3lp^{s}}\rangle$, where $ $ is a primitive $(q-1)$th root of unity.
Li Liu +3 more
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Logistic model outperforms allometric regression to estimate biomass of xerophytic shrubs
Ecological Indicators, 2021 Allometric model has been applied worldwide to estimate vegetation biomass for decades. However, this model fails to restrict the accelerating increase of biomass as body size grows. That contradicts to the size-related resource limits and intra-specific
Jiemin Ma +5 more
doaj +1 more source
Repeated-root constacyclic codes of length 6lp^s
Advances in Mathematics of Communications, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Tingting +3 more
openaire +2 more sources