Ternary codes associated with $O(3,3^r)$ and power moments of Kloosterman sums with trace nonzero square arguments

Mathematical Communications

Kim, Dae San¹ 

[1] Department of Mathematics, Sogang University, Seoul, Korea

关键词: power moment;    Kloosterman sum;    trace nonzero square argument;    orthogonal group;    Pless power moment identity;    weight distribution;    Gauss sum;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Sveuciliste Josipa Jurja Strossmayera u Osijeku * Odjel za Matematiku / University of Osijek, Department of Mathematics

【 摘 要 】

Inthispaper,weconstructtwoternarylinearcodes$C(SO(3,q))$and$C(O(3,q))$,respectivelyassociatedwiththeorthogonalgroups$SO(3,q)$and$O(3,q)$.Here$q$isapowerofthree.Thenweobtaintworecursiveformulasforthe...

【 授权许可】

Unknown