A linear (qd, q, t)-perfect hash family of size s in a vector space V of order qd over a field F of order q consists of a set S = {1, . . . , s} of linear functionals from V to F ...
In 1960 Hughes and Kleinfeld [4] constructed a finite semifield which is two dimensional over a weak nucleus. In 1965 Knuth [7] constructed a further three families of finite semif...
Constructions and nonexistence conditions for multi-dimensional Golay complementary array pairs are reviewed. A construction for a d-dimensional Golay array pair from a (d + 1)-di...
We define a mixed partition of = PG(d, qr) to be a partition of the points of into subspaces of two distinct types, for instance, a partition of PG(2n - 1, q2) into (n - 1)-spac...
We consider the implications of the equivalence of commutative semifields of odd order and planar Dembowski-Ostrom polynomials. This equivalence was outlined recently by Coulter an...
A general method for deriving an identity-based public key cryptosystem from a one-way function is described. We construct both ID-based signature schemes and ID-based encryption ...
Davis, Jedwab and Smith recently proved that there are no 2-dimensional Barker arrays except of size 2?2. We show that the existence of a (d+1)-dimensional Barker array implies th...
Many different divisible designs are already known. Some of them possess remarkable automorphism groups, so called dual translation groups. The existence of such an automorphism g...