Repeated root constacyclic codes of length mps over 𝔽pr + u𝔽pr + ⋯ + ue-1𝔽pr
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Publication:5498556
DOI10.1142/S0219498814500819zbMath1329.94089arXiv1211.7326MaRDI QIDQ5498556
Kenza Guenda, T. Aaron Gulliver
Publication date: 9 February 2015
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1211.7326
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Cyclic codes (94B15) Structure of finite commutative rings (13M05)
Related Items (9)
Self-dual constacyclic codes of length \(2^s\) over the ring \(\mathbb{F}_{2^m}[u,v/\langle u^2, v^2, uv-vu \rangle \)] ⋮ Constacyclic codes over \(\mathbb{F}_{p^m}[u_1, u_2, \cdots, u_k/\langle u_i^2 = u_i, u_i u_j = u_j u_i \rangle\)] ⋮ Some new constructions of isodual and LCD codes over finite fields ⋮ On constacyclic codes of length \(p^s\) over \(\mathbb{F}_{p^m} [ u , v \slash \langle u^2 , v^2 , u v - v u \rangle \)] ⋮ On symbol-pair distances of repeated-root constacyclic codes of length \(2p^s\) over \(\mathbb{F}_{p^m}+u\mathbb{F}_{p^m}\) and MDS symbol-pair codes ⋮ Some skew constacyclic codes over \(\mathbb{F}_q+u\mathbb{F}_q\) ⋮ DNA cyclic codes over rings ⋮ On Hamming and \(b\)-symbol distance distributions of repeated-root constacyclic codes of length \(4p^s\) over \(\mathbb{F}_{p^m}+u \mathbb{F}_{p^m}\) ⋮ Unnamed Item
Cites Work
- On some classes of constacyclic codes over polynomial residue rings
- Cyclic DNA codes over the ring \(F_2[u/(u^2-1)\) based on the deletion distance]
- Constacyclic codes of length \(p^s\) over \(\mathbb F_{p^m} + u\mathbb F_{p^m}\)
- MDS and self-dual codes over rings
- Cyclic codes over the integers modulo \(p^m\).
- Applications of coding theory to the construction of modular lattices
- On the structure of linear and cyclic codes over a finite chain ring
- Finite-ring combinatorics and MacWilliams' equivalence theorem
- Finite local rings
- Modular and \(p\)-adic cyclic codes
- Construction of cyclic codes over \(\mathbb F_2 + u\mathbb F_2\) for DNA computing
- On constacyclic codes over finite chain rings
- Repeated-root cyclic and negacyclic codes over a finite chain ring
- Cyclic and Negacyclic Codes Over Finite Chain Rings
- Construction of optimal Type IV self-dual codes over F/sub 2/+uF/sub 2/
- Type II codes over F/sub 2/+uF/sub 2/
- Cyclic codes and self-dual codes over F/sub 2/+uF/sub 2/
- Cyclic codes and quadratic residue codes over Z/sub 4/
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