Mass formula for self-dual codes over \(\mathbb {F}_q+u\mathbb {F}_q+u^2\mathbb {F}_q\)

DOI10.1007/S12190-017-1117-0zbMath1393.94925OpenAlexW2620407777MaRDI QIDQ721580

Trilbe Lizann Vasquez, Fidel Ronquillo Nemenzo, Rowena Alma L. Betty

Publication date: 19 July 2018

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-017-1117-0

zbMATH Keywords

classificationself-dual codesmass formulafinite ring

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Related Items (3)

Self-Dual Linear Codes over $\mathbb{F}_{q}+u\mathbb{F}_{q}+u^2\mathbb{F}_{q}$ and Their Applications in the Study of Quasi-Abelian Codes ⋮ A recursive method for the construction and enumeration of self-orthogonal and self-dual codes over the quasi-Galois ring \(\mathbb{F}_{2^r}[u/<u^e>\)] ⋮ Mass formulae for Euclidean self-orthogonal and self-dual codes over finite commutative chain rings

Uses Software

• Magma

Cites Work

• The number of self-dual codes over \(\mathbb Z_{p^3}\)
• The Magma algebra system. I: The user language
• On the structure of linear and cyclic codes over a finite chain ring
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• On the uniqueness of the Golay codes
• Unnamed Item

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