DCC
2007
IEEE
15 years 10 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
15 years 10 months ago
2007
IEEE
DCC
2007
IEEE
15 years 10 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
15 years 10 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
15 years 10 months ago
2007
IEEE
DCC
2007
IEEE
15 years 10 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
15 years 10 months ago
2007
IEEE
DCC
2007
IEEE
15 years 10 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
15 years 10 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
15 years 10 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...