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

Part of: Exponential sums and character sums Communication, information

Published online by Cambridge University Press:  17 April 2009

JI HYUN KIM
JI HYUN KIM*
Affiliation:
Department of Mathematics, Sogang University, Seoul 121–742, South Korea (email: mip97@hanmail.net)
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Abstract

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Here we derive a recursive formula for even-power moments of Kloosterman sums or equivalently for power moments of two-dimensional Kloosterman sums. This is done by using the Pless power-moment identity and an explicit expression of the Gauss sum for Sp(4,q).

Keywords

linear codesymplectic groupGauss sumKloosterman sumPless power moment identityweight distribution

MSC classification

Secondary: 94A24: Coding theorems (Shannon theory) 11L05: Gauss and Kloosterman sums; generalizations
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 79 , Issue 3 , June 2009 , pp. 427 - 435
Copyright
Copyright © Australian Mathematical Society 2009

Footnotes

This work was supported by grant No. R01-2006-000-11176-0 from the Basic Research Program of the Korea Science and Engineering Foundation.

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