scientific article; zbMATH DE number 7251183

zbMath1443.11255MaRDI QIDQ5122665

Virgilio P. Sison

Publication date: 23 September 2020

Full work available at URL: http://www.ieja.net/files/papers/volume-28/14-V28-2020.pdf

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Vandermonde matrixGalois ringnormal basisdual basis

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Structure of finite commutative rings (13M05)

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Новые представления знаков скрученных ЛРП при помощи функции след, базирующиеся на некоммутативной теореме Гамильтона - Кэли

Cites Work

• Weighted modules and representations of codes
• Finite-ring combinatorics and MacWilliams' equivalence theorem
• Bounds on the Minimum Homogeneous Distance of the ${p^{r}}$-ary Image of Linear Block Codes Over the Galois Ring ${\hbox{GR}}(p^{r},m)$
• Gray isometries for finite chain rings and a nonlinear ternary (36, 3/sup 12/, 15) code
• Characterization of finite Frobenius rings
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