DCC
2007
IEEE
14 years 4 months ago
2007
IEEE
Applications of signed digit representations of an integer include computer arithmetic, cryptography, and digital signal processing. An integer of length n bits can have several b...
DCC
2007
IEEE
14 years 4 months ago
2007
IEEE
DCC
2007
IEEE
14 years 4 months ago
2007
IEEE
In this contribution, we derive a novel parallel formulation of the standard Itoh-Tsujii algorithm for multiplicative inverse computation over GF(2m). The main building blocks use...
DCC
2007
IEEE
14 years 4 months ago
2007
IEEE
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 ...
DCC
2007
IEEE
14 years 4 months ago
2007
IEEE
DCC
2007
IEEE
14 years 4 months ago
2007
IEEE
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...
DCC
2007
IEEE
14 years 4 months ago
2007
IEEE
DCC
2007
IEEE
14 years 4 months ago
2007
IEEE
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...
DCC
2007
IEEE
14 years 4 months ago
2007
IEEE
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...
DCC
2007
IEEE
14 years 4 months ago
2007
IEEE
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...