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On the Hyper-Kloosterman Codes Over Galois Rings

Etienne TANEDJEU Assongmo

Journal of Mathematics Research, 2020, vol. 12, issue 2, 12

Abstract: The Hyper-Kloosterman code was first defined over finite fields by Chinen-Hiramatsu, see (Chinen, & Hiramatsu, 2001). In the present paper we define the Hyper-Kloosterman codes over Galois rings R(pe;m). We show that this code is the trace of linear code over R(pe;m). By the Hyper-Kloostermann sums over Galois rings, we determine the Hamming weight of any codeword of this code over Galois rings.

JEL-codes: R00 Z0 (search for similar items in EconPapers)
Date: 2020
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Handle: RePEc:ibn:jmrjnl:v:12:y:2020:i:2:p:12