EISENSTEIN POLYNOMIALS ASSOCIATED TO BINARY CODES

DOI10.1142/S1793042109002298zbMath1174.94021OpenAlexW2010314203MaRDI QIDQ3635800

Manabu Oura

Publication date: 6 July 2009

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042109002298

zbMATH Keywords

Eisenstein seriesweight enumeratorcodegraded ring

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Holomorphic modular forms of integral weight (11F11)

Related Items (4)

Note on the permutation group associated to E-polynomials ⋮ On Eisenstein polynomials and zeta polynomials ⋮ Note on E-polynomials associated to \(\mathbb{Z}_4\)-codes ⋮ On Eisenstein polynomials and zeta polynomials II

Cites Work

• Unnamed Item
• Kneser-Hecke-operators in coding theory
• On the enumeration of self-dual codes
• The binary self-dual codes of length up to 32: A revised enumeration
• Codes correcteurs d'erreurs autoorthogonaux sur le corps à deux éléments et formes quadratiques entières definies positives à discriminant +1
• Codes and Siegel modular forms
• Self-dual codes and invariant theory
• Good self dual codes exist
• A classification of self-orthogonal codes over GF(2)
• Über die analytische Theorie der quadratischen Formen
• Eine Identität zwischen Modulformen zweiten Grades
• On Siegel modular forms part II
• On Siegel Modular Forms of Genus Two
• On the Graded Ring of Theta-Constants
• On the classification and enumeration of self-dual codes

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