An important component of the index calculus methods for finding discrete logarithms is the acquisition of smooth polynomial relations. Gordon and McCurley (1992) developed a sieve...
Mosaics are orbits of partitions arising from music theoretical investigations. Various theorems from the field of "enumeration under finite group actions" are applied f...
Abstract--We find new families of nonbinary sequences of period 1 with symbols from a finite field for any prime 3. The sequences have two-level ideal autocorrelation and are gener...
Orthomorphic permutations have important applications in the design of block ciphers. A practical algorithm is derived to generate all orthomorphic permutations over Fm 2 , and it...
We study the symmetries of periodic solutions from Hopf bifurcation in systems with finite abelian symmetries. Our main result, the Abelian Hopf H mod K Theorem, gives necessary a...