Dae San Kim

most citedWeight Distributions of Hamming Codes

4 citations · 10 across the 5 of their papers we have counts for

collaborators

5 papers

math.NT2008

Codes Associated with Orthogonal Groups and Power Moments of Kloosterman Sums

Dae San Kim

In this paper, we construct three binary linear codes $C (S O^{-} (2, q))$ , $C (O^{-} (2, q))$ , $C (S O^{-} (4, q))$ , respectively associated with the orthogonal groups $S O^{-} (2, q)$ , $O^{-}(…

math.NT2008★ 3 cited

Codes Associated with $O^{+} (2 n, 2^{r})$ and Power Moments of Kloosterman Sums

Dae San Kim

In this paper, we construct three binary linear codes $C (S O^{+} (2, q))$ , $C (O^{+} (2, q))$ , $C (S O^{+} (4, q))$ , respectively associated with the orthogonal groups $S O^{+} (2, q)$ , $O^{+} (2, q)$ , $SO…

math.NT2008★ 3 cited

Codes Associated with Special Linear Groups and Power Moments of Multi-dimensional Kloosterman Sums

Dae San Kim

In this paper, we construct the binary linear codes $C (S L (n, q))$ associated with finite special linear groups $S L (n, q)$ , with both \emph{n,q} powers of two. Then, via Pless power m…

cs.IT2007

Weight Distributions of Hamming Codes (II)

Dae San Kim

In a previous paper, we derived a recursive formula determining the weight distributions of the [n=(q^m-1)/(q-1)] Hamming code H(m,q), when (m,q-1)=1. Here q is a prime power. We n…

cs.IT2007★ 4 cited

Weight Distributions of Hamming Codes

Dae San Kim

We derive a recursive formula determing the weight distribution of the [n=(q^m-1)/(q-1), n-m, 3] Hamming code H(m,q), when (m, q-1)=1. Here q is a prime power. The proof is based o…

Codes Associated with Orthogonal Groups and Power Moments of Kloosterman Sums

Codes Associated with O+(2n,2r) and Power Moments of Kloosterman Sums

Codes Associated with Special Linear Groups and Power Moments of Multi-dimensional Kloosterman Sums

Weight Distributions of Hamming Codes (II)

Weight Distributions of Hamming Codes

Codes Associated with $O^{+} (2 n, 2^{r})$ and Power Moments of Kloosterman Sums