Cyclotomy can be used to construct a variety of combinatorial designs, for example, supplementary difference sets, weighing matrices and T -matrices. These designs may be obtained by using linear… Expand

We give an overview of existing constructions and techniques and present a variety of new constructions, new restrictions on the deficiencies and new computational results for TCP's .Expand

An exhaustive search for length n = 25 has been carried out for about 80% of the search-space and new normal sequences of length 25 have been found.Expand

We discuss difference sets (DS) and supplementary difference sets (SDS) over rings. We survey some constructions of SDS over Galois rings where there are no short orbits. ,From there we move to… Expand

We give an efficient fail-stop signature scheme that uses two hard problems, discrete logarithm and factorization, as the basis of a receiver’s security.Expand

Given an RSA modulus n, a ciphertext c and the encryption exponent e, one can construct the sequence x0 = c mod n, xi+1 = xie mod n; i = 0, 1,... until gcd(xi+1 - x0, n) ≠ 1 or i or i > B, B a given… Expand