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Recursive formulas generating power moments of multi-dimensional Kloosterman sums and m-multiple power moments of Kloosterman sums

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dc.contributor.author Kim, D.S.
dc.date.accessioned 2019-06-15T11:49:34Z
dc.date.available 2019-06-15T11:49:34Z
dc.date.issued 2015
dc.identifier.citation Recursive formulas generating power moments of multi-dimensional Kloosterman sums and m-multiple power moments of Kloosterman sums / D.S. Kim // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 2. — С. 213-228 . — Бібліогр.: 18 назв. — англ. uk_UA
dc.identifier.issn 1726-3255
dc.identifier.other 2010 MSC:11T23, 20G40, 94B05.
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/154253
dc.description.abstract In this paper, we construct two binary linear codes associated with multi-dimensional and m-multiple power Kloosterman sums (for any fixed m) over the finite field Fq. Here q is a power of two. The former codes are dual to a subcode of the binary hyper-Kloosterman code. Then we obtain two recursive formulas for the power moments of multi-dimensional Kloosterman sums and for the m-multiple power moments of Kloosterman sums in terms of the frequencies of weights in the respective codes. This is done via Pless power moment identity and yields, in the case of power moments of multi-dimensional Kloosterman sums, much simpler recursive formulas than those associated with finite special linear groups obtained previously. uk_UA
dc.description.sponsorship This work was supported by National Research Foundation of Korea Grant fundedby the Korean Government 2009-0072514. uk_UA
dc.language.iso en uk_UA
dc.publisher Інститут прикладної математики і механіки НАН України uk_UA
dc.relation.ispartof Algebra and Discrete Mathematics
dc.title Recursive formulas generating power moments of multi-dimensional Kloosterman sums and m-multiple power moments of Kloosterman sums uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA


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