77 search results - page 1 / 16 » Near-MDS codes over some small fields |
DM
2000
13 years 8 months ago
2000
TIT
2008
13 years 8 months ago
2008
We construct new MDS or near-MDS self-dual codes over large finite fields. In particular we show that there exists a Euclidean self-dual MDS code of length n = q over GF(q) wheneve...
DCC
2001
IEEE
14 years 8 months ago
2001
IEEE
We construct large caps in projective spaces of small dimension (up to 11) defined over fields of order at most 9. The constructions are both theoretical and computer-supported. S...
ACISP
2004
Springer
14 years 2 months ago
2004
Springer
Abstract. XL was first introduced to solve determined or overdetermined systems of equations over a finite field as an “algebraic attack” against multivariate cryptosystems....
DM
1999
13 years 8 months ago
1999
We construct a large number of record-breaking binary, ternary and quaternary codes. Our methods involve the study of BCH-codes over larger fields, concatenation, construction X a...