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4 papers · 2 filters
Ternary Codes Associated with and Power Moments of Kloosterman Sums with Trace Nonzero Square Arguments
Dae San Kim
In this paper, we construct two ternary linear codes and , respectively associated with the orthogonal groups and . Here is a power of…
Recursive formulas generating power moments of multi-dimensional Kloosterman sums and -multiple power moments of Kloosterman sums
Dae San Kim
In this paper, we construct two binary linear codes associated with multi-dimensional and multiple power Kloosterman sums (for any fixed ) over the finite field $\mathbb{F}…
Ternary Codes Associated with O^-(2n,q) and Power Moments of Kloosterman Sums with Square Arguments
Dae San Kim
In this paper, we construct three ternary linear codes associated with the orthogonal group O^-(2,q) and the special orthogonal groups SO^-(2,q) and SO^-(4,q). Here q is a power of…
Simple Recursive Formulas Generating Power Moments of Kloosterman Sums
Dae San Kim
In this paper, we construct four binary linear codes closely connected with certain exponential sums over the finite field F_q and F_q-{0,1}. Here q is a power of two. Then we obta…