논문KCI 등재
The classification of self-dual codes over Galois rings of length 4
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The classification of the self-dual codes over Galois rings $GR(p,2)$ and $GR(p^2,2)$ of length 4 is completed for all primes $p$ up to equivalence in terms of automorphism group. We obtain all inequivalent classes and the number of each classes of self-dual codes for all primes.
Abstract
The classification of the self-dual codes over Galois rings $GR(p,2)$ and $GR(p^2,2)$ of length 4 is completed for all primes $p$ up to equivalence in terms of automorphism group. We obtain all inequivalent classes and the number of each classes of self-dual codes for all primes.
참고문헌 (19)
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- 최환혁, "Self-dual codes over ${\mathbb Z}_{p^2}$ of small lengths", 한국수학논문집, 25(3), pp.379~388 (2017), 강원경기수학회
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관련 논문AI추천
Mass Formula of self-dual codes over Galois rings $GR(p^2,2)$최환혁강원경기수학회 · 한국수학논문집2016 · 제24권 제4호The classification of self-orthogonal codes over mathbb Zp2 of lengths leq 3김광호, 박숙영, 최환혁강원경기수학회 · 한국수학논문집2014 · 제22권 제4호Self-dual codes over ${\mathbb Z}_{p^2}$ of small lengths박영호, 최환혁강원경기수학회 · 한국수학논문집2017 · 제25권 제3호Quasi-cyclic self-dual codes with four factors김현진, 이중경, 최환혁강원경기수학회 · 한국수학논문집2024 · 제32권 제3호Cyclic and constacyclic self-dual codes over R_kBahattin Yildiz, Ismail Gokhan Kelebek, Suat Karadeniz대한수학회 · 대한수학회보2017 · 제54권 제4호Construction for self-orthogonal codes over a certain non-chain Frobenius ring김보란대한수학회 · 대한수학회지2022 · 제59권 제1호
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