Linearly representable codes and the Kerdock code over an arbitrary Galois field of characteristic 2

DOI10.1070/RM1994v049n05ABEH002441zbMath0904.94022OpenAlexW2065743807MaRDI QIDQ4872707

Aleksey Kuzmin, Alexander A. Nechaev

Publication date: 14 January 1999

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1994v049n05abeh002441

zbMATH Keywords

linear codesGalois ringcyclic codeslinear recurring sequence

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05)

Related Items (5)

Symplectic spread-based generalized Kerdock codes ⋮ Codes over affine algebras with a finite commutative chain coefficient ring ⋮ New ring-linear codes from dualization in projective Hjelmslev geometries ⋮ NONBINARY DELSARTE–GOETHALS CODES AND FINITE SEMIFIELDS ⋮ Complete weight enumerators of generalized Kerdock code and related linear codes over Galois ring

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