Weight Formulas for Ternary Melas Codes

DOI10.2307/2153217zbMath0768.94017OpenAlexW4237318963MaRDI QIDQ4024691

Marcel van der Vlugt, René Schoof, Gerard van der Geer

Publication date: 10 February 1993

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2153217

zbMATH Keywords

finite fieldspolynomialternary Melas codes

Mathematics Subject Classification ID

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

Related Items (8)

Ternary codes associated with \(O^{-}(2n,q)\) and power moments of Kloosterman sums with square arguments ⋮ On the moments of Kloosterman sums and fibre products of Kloosterman curves ⋮ Codes associated with special linear groups and power moments of multi-dimensional Kloosterman sums ⋮ Elliptic curves and explicit enumeration of irreducible polynomials with two coefficients pre\-scribed ⋮ Counting plane cubic curves over finite fields with a prescribed number of rational intersection points ⋮ Weight enumerators of Reed-Muller codes from cubic curves and their duals ⋮ Counting irreducible polynomials over GF(3) with first and third coefficients given ⋮ Traces of Hecke operators and refined weight enumerators of Reed-Solomon codes

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