UNIFORM DISTRIBUTION OF THE WEIGHTS OF THE KLOOSTERMAN CODES

Toyokazu Hiramatsu

doi:10.55937/sut/1262208360

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Home > Journals > SUT J. Math. > Volume 31 > Issue 1 > Article

June 1995 UNIFORM DISTRIBUTION OF THE WEIGHTS OF THE KLOOSTERMAN CODES

Toyokazu Hiramatsu

Author Affiliations +

Toyokazu Hiramatsu¹
¹Division of Mathematical Science, College of Engineering, Hosei University Koganei, Tokyo 184, Japan

SUT J. Math. 31(1): 29-32 (June 1995). DOI: 10.55937/sut/1262208360

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Abstract

Let $C$ be the Kloosterman code over finite fields. In this paper, we give some bound for the weights of codewords in $C$ and show that the weights of the code $C$ are uniformly distributed with respect to the Sato-Tate measure by using the result of Katz.

Acknowledgment

It is a pleasure to express my sincere gratitude to the referee for his many valuable critical comments.

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Toyokazu Hiramatsu. "UNIFORM DISTRIBUTION OF THE WEIGHTS OF THE KLOOSTERMAN CODES." SUT J. Math. 31 (1) 29 - 32, June 1995. https://doi.org/10.55937/sut/1262208360