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DCC
2003
IEEE
16 years 6 months ago
The Largest Cap in AG(4, 4) and Its Uniqueness
We show that 40 is the maximum number of points of a cap in AG(4, 4). Up to semi-linear transformations there is only one such 40-cap. Its group of automorphisms is a semidirect p...
Yves Edel, Jürgen Bierbrauer
DCC
2003
IEEE
16 years 6 months ago
On (q + t, t)-Arcs of Type (0, 2, t)
In this paper we construct an infinite series of (q + t, t)-arcs of type (0, 2, t). We show that this construction includes the Korchm?aros-Mazzocca arcs, and we gain new infinite...
András Gács, Zsuzsa Weiner
DCC
2002
IEEE
16 years 6 months ago
Polynomial Interpolation of the Discrete Logarithm
Recently, Coppersmith and Shparlinski proved several results on the interpolation of the discrete logarithm in the finite prime field Fp by polynomials modulo p and modulo p -1, re...
Arne Winterhof
DCC
2001
IEEE
16 years 6 months ago
Binary Optimal Odd Formally Self-Dual Codes
In this paper, we study binary optimal odd formally self-dual codes. All optimal odd formally self-dual codes are classified for length up to 16. The highest minimum weight of any ...
Koichi Betsumiya, Masaaki Harada
DCC
2001
IEEE
16 years 6 months ago
Trace Representation of Legendre Sequences
In this paper, a Legendre sequence of period p for any odd prime p is explicitely represented as a sum of trace functions from GF(2n) to GF(2), where n is the order of 2 mod p.
Jeong-Heon Kim, Hong-Yeop Song