\(\mathbb Z_2\)-double cyclic codes

DOI10.1007/s10623-017-0334-8zbMath1426.94157arXiv1410.5604OpenAlexW3008545444MaRDI QIDQ2413006

Joaquim Borges, Cristina Fernández-Córdoba, Roger Ten-Valls

Publication date: 6 April 2018

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.5604

zbMATH Keywords

dualitybinary linear codes\(\mathbb {Z}_2\)-double cyclic codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Combinatorial codes (94B25)

Related Items (25)

Double quadratic residue codes and self-dual double cyclic codes ⋮ Double skew cyclic codes over \(\mathbb{F}_q\) ⋮ \(\mathbb{Z}_{2}\mathbb{Z}_{2}\mathbb{Z}_{4}\)-additive cyclic codes ⋮ \(\mathbb{Z}_2\mathbb{Z}_2[u^4\)-cyclic codes and their duals] ⋮ On \(\mathbb{F}_2 RS\)-cyclic codes and their applications in constructing optimal codes ⋮ Weight distribution of a subclass of \(\mathbb{Z}_2\)-double cyclic codes ⋮ A new construction of quantum codes from quasi-cyclic codes over finite fields ⋮ \(\mathbb{F}_{q^2}\)-double cyclic codes with respect to the Hermitian inner product ⋮ Unnamed Item ⋮ Quasi-cyclic and generalized quasi-cyclic codes and uniqueness of their generators ⋮ On generalized quasi-cyclic codes over \(\mathbb{Z}_4\) ⋮ Weight distribution of double cyclic codes over \(\mathbb{F}_q + u \mathbb{F}_q\) ⋮ Constacyclic codes over mixed alphabets and their applications in constructing new quantum codes ⋮ Hulls of double cyclic codes ⋮ Unnamed Item ⋮ Some results on \(\mathbb{F}_4[v\)-double cyclic codes] ⋮ Hamming weight enumerators of multi-twisted codes with at most two non-zero constituents ⋮ Unnamed Item ⋮ On \(\mathbb{Z}_{p^r}\mathbb{Z}_{p^s}\)-additive cyclic codes ⋮ Some generalizations of the ASR search algorithm for quasitwisted codes ⋮ Enumeration of \({\mathbb{Z}}_4\)-double cyclic codes ⋮ Triple Cyclic Codes Over 𝔽q + u𝔽q ⋮ Quantum codes from cyclic codes over the mixed alphabet structure ⋮ Weight distribution of double cyclic codes over Galois rings ⋮ Quantum codes from \(\mathbb{Z}_2\mathbb{Z}_2[u/\langle u^4 \rangle \)-cyclic codes]

Uses Software

• Code Tables

Cites Work

• Unnamed Item
• Unnamed Item
• \(\mathbb Z_2\mathbb Z_4\)-linear codes: Generator matrices and duality
• \(Z_2Z_4\)-linear codes: rank and kernel
• Some families of \(\mathbb Z_4\)-cyclic codes
• ${\mathbb {Z}}_{2}{\mathbb {Z}}_{4}$ -Additive Cyclic Codes, Generator Polynomials, and Dual Codes
• $\BBZ_{2}\BBZ_{4}$ -Additive Cyclic Codes
• On ℤ₂ℤ₂[u-additive codes]
• On Rank and Kernel of ℤ4-Linear Codes
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• Fundamentals of Error-Correcting Codes
• Binary images of cyclic codes over Z/sub 4/
• Cyclic codes and quadratic residue codes over Z/sub 4/
• $\mathbb {Z}_{2}\mathbb {Z}_{2}[u$ –Cyclic and Constacyclic Codes]

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