A Novel Framework for Relating Quasi-Cyclic Codes and Quasi-Twisted Codes
Biennial Symposium on Communications, 2023In this paper, we aim to analyze the algebraic structure of repeated-root quasi-cyclic codes of length $p^{k}{n}\ell$ and index $\ell$ over the finite field $\mathbb{F}_{q}$, where $k$ is a positive integer, $q=p^{\alpha}$ and $(n,p)=1$. For this purpose,
A. Saleh, M. Soleymani
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MDS and AMDS symbol-pair codes constructed from repeated-root cyclic codes
Finite Fields and Their Applications, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tang, Xiuxin, Luo, Rong
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On $b$ -Symbol Distances of Repeated-Root Constacyclic Codes
IEEE Transactions on Information Theory, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anuradha Sharma, Tania Sidana
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Some Classes of Repeated-root Constacyclic Codes for Multi-symbol Read Channels and Applications
The main objective of coding theory is to find codes with efficient encoding and decoding techniques and the greatest possible value of distance for a given code length, code size, and code alphabet cardinality.
Madhu Kant Thakur
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Construction of Asymmetric Quantum Product Codes Based Repeated-Root Cyclic Codes
Applied Mechanics and Materials, 2014A kind of classical product codes based on repeated-root cyclic codes are considered in this paper, and the classical product codes are applied to construct the asymmetric quantum product codes. The novel asymmetric quantum product codes have great asymmetry for correcting Z errors and X errors, and the parameters of asymmetric quantum product codes ...
Pan Yue Fu, Wei Liu
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Repeated-Root Constacyclic Codes of Length $$k\ell p^s$$
Bulletin of the Malaysian Mathematical Sciences Society, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Yan, Shi, Minjia
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On repeated-root cyclic codes and its weight enumirator
2010 IEEE International Conference on Information Theory and Information Security, 2010The squaring and iterated squaring construction for cyclic codes, obtained from well known construction | u | u + v|, are widely in use because of their comparatively less complex nature. A large number of quality codes and lattices such as Reed-Mullar codes and Barnes-Wall lattices are generated by employing simple constructions.
Jaskaran S. Bhullar +2 more
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On the b-Symbol Distances of Matrix Product Codes, Constacyclic Codes, and Reed-Muller Codes
IEEE Transactions on Information TheoryMatrix product codes are generalizations of some well-known classes of codes, including generalized Reed-Muller codes and repeated-root constacyclic codes.
Xu Pan +3 more
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NIODebugger: A Novel Approach to Repair Non-Idempotent-Outcome Tests with LLM-Based Agent
International Conference on Software EngineeringFlaky tests, characterized by inconsistent results across repeated executions, present significant challenges in software testing, especially during regression testing.
Kai-Jie Ke
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Structure-Preserving Error-Correcting Codes for Polynomial Frames
arXiv.orgModern FFT/NTT analytics, coded computation, and privacy-preserving ML interface routinely move polynomial frames across NICs, storage, and accelerators. However, even rare silent data corruption (SDC) can flip a few ring coefficients and cascade through
Baigang Chen, Dongfang Zhao
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