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One-Sided Repeated-Root Two-Dimensional Cyclic and Constacyclic Codes [PDF]

open access: green, 2022
Marziyeh Beygi Khormaei   +2 more
openalex   +1 more source

A Note on Factorization and the Number of Irreducible Factors of xnλ over Finite Fields

open access: yesMathematics
Let Fq be a finite field, and let n be a positive integer such that gcd(q,n)=1. The irreducible factors of xn−1 and xn−λ are fundamental concepts with wide applications in cyclic codes and constacyclic codes.
Jinle Liu, Hongfeng Wu
doaj   +1 more source

AMDS constacyclic codes and quantum AMDS codes

open access: yesFilomat
One significant application of almost maximum distance separable (briefly, AMDS) codes is in secure communication systems, such as secure messaging and encrypted data transmission. By incorporating AMDS codes into the data encoding process, information can be safeguarded from accidental errors that might occur during transmission or storage.
Hai Dinh, Bac Nguyen, Hiep Thi
openaire   +1 more source

Repeated-root Constacyclic Codes with Optimal Locality [PDF]

open access: green, 2021
Wei Zhao, Kenneth W. Shum, Shenghao Yang
openalex   +1 more source

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