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...
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...
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...
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 ...
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.