Dae San Kim

most citedTernary Codes Associated with O^-(2n,q) and Power Moments of Kloosterman Sums with Square Arguments

2 citations · 6 across the 9 of their papers we have counts for

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math.NT2009

Infinite Families of Recursive Formulas Generating Power Moments of Ternary Kloosterman Sums with Square Arguments Associated with $O_{-} (2 n, q)$

Dae San Kim

In this paper, we construct eight infinite families of ternary linear codes associated with double cosets with respect to certain maximal parabolic subgroup of the special orthogon…

math.NT2009

Infinite Families of Recursive Formulas Generating Power Moments of Ternary Kloosterman Sums with Trace Nonzero Square Arguments: $O (2 n + 1, 2^{r})$ Case

Dae San Kim

In this paper, we construct four infinite families of ternary linear codes associated with double cosets in $O (2 n + 1, q)$ with respect to certain maximal parabolic subgroup of the sp…

math.NT2009

Ternary Codes Associated with $O (3, 3^{r})$ and Power Moments of Kloosterman Sums with Trace Nonzero Square Arguments

Dae San Kim

In this paper, we construct two ternary linear codes $C (S O (3, q))$ and $C (O (3, q))$ , respectively associated with the orthogonal groups $S O (3, q)$ and $O (3, q)$ . Here $q$ is a power of…

math.NT2009★ 1 cited

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

Dae San Kim

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 $\mathbb{F}…

math.NT2009★ 2 cited

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…

math.NT2009

An Infinite Family of Recursive Formulas Generating Power Moments of Kloosterman Sums with Trace One Arguments: O(2n+1,2^r) Case

Dae San Kim

In this paper, we construct an infinite family of binary linear codes associated with double cosets with respect to certain maximal parabolic subgroup of the orthogonal group O(2n+…

Infinite Families of Recursive Formulas Generating Power Moments of Ternary Kloosterman Sums with Square Arguments Associated with O−​(2n,q)

Infinite Families of Recursive Formulas Generating Power Moments of Ternary Kloosterman Sums with Trace Nonzero Square Arguments: O(2n+1,2r) Case

Ternary Codes Associated with O(3,3r) and Power Moments of Kloosterman Sums with Trace Nonzero Square Arguments

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

Ternary Codes Associated with O^-(2n,q) and Power Moments of Kloosterman Sums with Square Arguments

An Infinite Family of Recursive Formulas Generating Power Moments of Kloosterman Sums with Trace One Arguments: O(2n+1,2^r) Case

Infinite Families of Recursive Formulas Generating Power Moments of Ternary Kloosterman Sums with Square Arguments Associated with $O_{-} (2 n, q)$

Infinite Families of Recursive Formulas Generating Power Moments of Ternary Kloosterman Sums with Trace Nonzero Square Arguments: $O (2 n + 1, 2^{r})$ Case

Ternary Codes Associated with $O (3, 3^{r})$ and Power Moments of Kloosterman Sums with Trace Nonzero Square Arguments

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