Results 41 to 50 of about 513,670 (123)
The Galois variance of constacyclic codes
Finite Fields and Their Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A class of constacyclic codes over a finite field [PDF]
, 2012 Let Fq be a finite field with q=pm elements, where p is an odd prime and m⩾1. In this paper, we explicitly determine all the μ-constacyclic codes of length 2n over Fq, when the order of μ is a power of 2.
Gurmeet K. Bakshi +3 more
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Z 4 Z 4 [u]-ADDITIVE CYCLIC AND CONSTACYCLIC CODES
, 2020 International audienceWe study mixed alphabet cyclic and constacyclic codes over the two alphabets Z 4 , the ring of integers modulo 4, and its quadratic extension Z 4 [u] = Z 4 + uZ 4 , u 2 = 0.
Prakash, Om +2 more
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Quasi-twisted codes with constacyclic constituent codes
Finite Fields and Their Applications, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Minjia Shi, Yiping Zhang
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A class of constacyclic codes from group algebras
, 2017 Constacyclic codes are preferred in engineering applications due to their efficient encoding process via shift registers. The class of constacyclic codes contains cyclic and negacyclic codes.
Mehmet Koroglu +3 more
core +1 more source
A class of constacyclic codes are generalized Reed-Solomon codes
, 2022 Maximum distance separable (MDS) codes are optimal in the sense that the minimum distance cannot be improved for a given length and code size. The most prominent MDS codes are generalized Reed-Solomon (GRS) codes. The square $\mathcal{C}^{2}$ of a linear
Liu, Hongwei, Liu, Shengwei
core
Equivalence of constacyclic codes with shift constants of different orders [PDF]
Let $a$ and $b$ be two non-zero elements of a finite field $\mathbb{F}_q$, where $q>2$. It has been shown that if $a$ and $b$ have the same multiplicative order in $\mathbb{F}_q$, then the families of $a$-constacyclic and $b$-constacyclic codes over ...
Grassl, Markus +4 more
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Quantum Constacyclic BCH Codes over Qudits: A Spectral-Domain Approach [PDF]
We characterize constacyclic codes in the spectral domain using the finite field Fourier transform (FFFT) and propose a reduced complexity method for the spectral-domain decoder. Further, we also consider repeated-root constacyclic codes and characterize
Garani, Shayan Srinivasa, Patel, Shikha
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A note on the duals of skew constacyclic codes
CoRR, 2016 Let $\mathbb{F}_q$ be a finite field with $q$ elements and denote by $θ: \mathbb{F}_q\to\mathbb{F}_q$ an automorphism of $\mathbb{F}_q$. In this paper, we deal with skew constacyclic codes, that is, linear codes of $\mathbb{F}_q^n$ which are invariant under the action of a semi-linear map $Φ_{α,θ}:\mathbb{F}_q^n\to\mathbb{F}_q^n$, defined by $Φ_{α,θ ...
Alexis Eduardo Almendras Valdebenito +1 more
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, 2023 A locally recoverable code (for brevity LRC) is a code such that a symbol in any coordinate of a codeword can be repaired by using the symbols in at most r other positions. These codes are used in distributed storage systems by Microsoft Azure and Hadoop
Köroğlu, Mehmet Emin, Zengin, Rabia
core