scientific article; zbMATH DE number 7317452

zbMath1455.94224MaRDI QIDQ4964814

E. Rostami, R. Nekooei

Publication date: 4 March 2021

Full work available at URL: http://ijmsi.ir/article-1-944-en.html

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zbMATH Keywords

Gröbner basislinear codesquasi-Frobenius ringsalgebraic coding theorySPAP-ring

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Bounds on codes (94B65) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Cites Work

• Finite-ring combinatorics and MacWilliams' equivalence theorem
• A Griesmer bound for linear codes over finite quasi-Frobenius rings
• Linear codes over finite chain rings
• Self-dual codes and invariant theory
• On SPAP-rings
• Kerdock code in a cyclic form
• Linear Codes over Finite Chain Rings and Projective Hjelmslev Geometries
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• On the Hamming distance of linear codes over a finite chain ring
• Arcs in projective Hjelmslev planes
• Generalizations of Prime Ideals
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