Results 21 to 30 of about 2,635,004 (136)
Galois self-dual constacyclic codes [PDF]
Designs, Codes and Cryptography, 2016 Key words: Constacyclic code, Galois inner product, $q$-coset function, isometry, Galois self-dual ...
Fan, Yun, Zhang, Liang
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IEEE Access, 2020 Let F2(m) be a finite field of 2m elements, λ and k be integers satisfying λ, k ≥ 2 and denote R = F2(m)[u]/(u2λ). Let δ, α ∈ F2(m)×.
Yuan Cao +4 more
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New Quantum codes from constacyclic codes over a general non-chain ring [PDF]
Discret. Math. Algorithms Appl., 2022 Let $q$ be a prime power and let $\mathcal{R}=\mathbb{F}_{q}[u_1,u_2, \cdots, u_k]/\langle f_i(u_i),u_iu_j-u_ju_i\rangle$ be a finite non-chain ring, where $f_i(u_i), 1\leq i \leq k$ are polynomials, not all linear, which split into distinct linear ...
Swati Bhardwaj, Mokshi Goyal, M. Raka
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On the Hamming Distances of Constacyclic Codes of Length 5
IEEE Access, 2020 Let $p$ be a prime, $s$ , $m$ be positive integers, and $\lambda $ be a nonzero element of the finite field $\mathbb {F}_{p^{m}}$ . In this paper, the algebraic structures of constacyclic codes of length $5~p^{s}~(p\neq 5)$ are obtained, which ...
Hai Q. Dinh +2 more
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Discrete Mathematics, 2019 Over finite local Frobenius non-chain rings with nilpotency index 3 and when the length of the codes is relatively prime to the characteristic of the residue field of the ring, the structure of the dual of γ -constacyclic codes is established and the ...
C. A. Castillo-Guillén +4 more
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The dual code of any (δ+αu2)-constacyclic code over F2m[u]∕〈u4〉 of oddly even length
Discrete Mathematics, 2019 Let F 2 m be a finite field of cardinality 2 m , R = F 2 m [ u ] ∕ 〈 u 4 〉 = F 2 m + u F 2 m + u 2 F 2 m + u 3 F 2 m ( u 4 = 0 ) which is a finite chain ring, and n is an odd positive integer.
Yung Gao, Fang-Wei Fu
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The Depth Distribution of Constacyclic Codes Over
IEEE Access, 2018 The depth distribution of a linear code was put forward by Etzion as a new characterization for linear codes. The previously known results pay close attention to the depth distribution of the linear codes over chain rings.
Guanghui Zhang
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Skew Constacyclic Codes over Finite Fields and Finite Chain Rings
Mathematical Problems in Engineering, Volume 2016, Issue 1, 2016., 2016 This paper overviews the study of skew Θ‐λ‐constacyclic codes over finite fields and finite commutative chain rings. The structure of skew Θ‐λ‐constacyclic codes and their duals are provided. Among other results, we also consider the Euclidean and Hermitian dual codes of skew Θ‐cyclic and skew Θ‐negacyclic codes over finite chain rings in general and ...
Hai Q. Dinh +3 more
wiley +1 more source
Constacyclic codes over finite fields
Finite Fields and Their Applications, 2012 An equivalence relation called isometry is introduced to classify constacyclic codes over a finite field; the polynomial generators of constacyclic codes of length $\ell^tp^s$ are characterized, where $p$ is the characteristic of the finite field and $\ell$ is a prime different from $p$.
Chen, Bocong +3 more
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