CODES ASSOCIATED WITH Sp(4,q) AND EVEN-POWER MOMENTS OF KLOOSTERMAN SUMS

DOI10.1017/S0004972708001366zbMath1168.94004OpenAlexW1987603287MaRDI QIDQ3633332

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Publication date: 18 June 2009

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972708001366

zbMATH Keywords

Gauss sumsymplectic grouplinear codeweight distributionKloosterman sumPless power moment identity

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Coding theorems (Shannon theory) (94A24)

Cites Work

• Hecke operators and the weight distributions of certain codes
• Gauss sums for symplectic groups over a finite field
• Kloosterman sum identities and low-weight codewords in a cyclic code with two zeros
• The weights of the orthogonals of the extended quadratic binary Goppa codes
• Kloosterman sums, elliptic curves, and irreducible polynomials with prescribed trace and norm
• The Moments of a Kloosterman Sum and the Weight Distribution of a Zetterberg-Type Binary Cyclic Code
• A note on exponential sums

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