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Ternary codes associated with symplectic groups and power moments of Kloosterman sums with square arguments by Kim, Dae San; Kim, Ji Hyun is a scholarly article available to read on EtoBox.

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In this paper, we construct two ternary linear codes associated with the symplectic groups Sp(2,q) and Sp(4,q). Here q is a power of three. Then we obtain recursive formulas for the power moments of Kloosterman sums with square arguments and for the even power moments of those in terms of the frequencies of weights in the codes. This is done via Pless power moment identity and by utilizing the explicit expressions of "Gauss sums" for the symplectic groups Sp(2n,q).

Author

Kim, Dae San; Kim, Ji Hyun

Published

2011

Language

EN