The Algebra of the Finite Fourier Transform and Coding Theory

DOI10.2307/2000409zbMath0578.94012OpenAlexW4240202991MaRDI QIDQ3701329

Richard Tolimieri

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2000409

zbMATH Keywords

weight enumeratorsfinite Fourier transformself dual codesvector space over a finite fieldlinear sums

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Polynomials over finite fields (11T06)

Related Items (1)

Generating Jacobi forms

Cites Work

• Is computing with the finite Fourier transform pure or applied mathematics?
• Error-Correcting Codes and Invariant Theory: New Applications of a Nineteenth-Century Technique
• [https://portal.mardi4nfdi.de/wiki/Publication:4173773 Algebraic Structures for � Σ n 1 L 2 (Z/n) Compatible with the Finite Fourier Transform]
• Generalizations of Gleason's theorem on weight enumerators of self-dual codes
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