1-generator generalized quasi-cyclic codes over \(\mathbb {Z}_{4}\)

DOI10.1007/s12095-015-0175-0zbMath1362.94069OpenAlexW2203203721MaRDI QIDQ505078

Tingting Wu, Jian Gao, Fang-Wei Fu

Publication date: 19 January 2017

Published in: Cryptography and Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12095-015-0175-0

zbMATH Keywords

gray map1-generator generalized quasi-cyclic codesgood binary nonlinear codesnew \(\mathbb {Z}_{4}\)-linear codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Cyclic codes (94B15)

Related Items (7)

Quasi-cyclic constructions of asymmetric quantum error-correcting codes ⋮ Two classes of quasi-cyclic codes via irreducible polynomials ⋮ On generalized quasi-cyclic codes over \(\mathbb{Z}_4\) ⋮ Weight distributions of generalized quasi-cyclic codes over \(\mathbb{F}_q + u \mathbb{F}_q\) ⋮ Unnamed Item ⋮ 1-generator quasi-cyclic and generalized quasi-cyclic codes over the ring \(\frac{\mathbb Z_4[u}{\langle u^2 - 1\rangle}\)] ⋮ On the structure of 1-generator quasi-polycyclic codes over finite chain rings

Uses Software

• Magma
• Code Tables

Cites Work

• Magma
• Generalized quasi-cyclic codes over Galois rings: structural properties and enumeration
• Structural properties and enumeration of 1-generator generalized quasi-cyclic codes
• Generalized quasi-cyclic codes: Structural properties and code construction
• The Magma algebra system. I: The user language
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• New binary codes from a chain of cyclic codes
• Quasi-cyclic codes over Z/sub 4/ and some new binary codes
• Cyclic codes and quadratic residue codes over Z/sub 4/
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