—We extend the definition of the Costas property to functions in the continuum, namely on intervals of the reals or the rationals, and argue that such functions can be used in t...
We determine that exponential Welch permutations lead in general to the smallest maximal frequency hops among all Costas permutations, and are also relatively easy to study, as a ...
—Permutations of order N are generated using polynomials in a Galois field GF(q) where q > N+1, which can be written as a linear transformation on a vector of polynomial coeff...
We present 3 open challenges in the field of Costas arrays. They are: a) the determination of the number of dots on the main diagonal of a Welch array, and especially the maximal ...
— Bit and subword permutations are useful in many multimedia and cryptographic applications. New shift and permute instructions have been added to the instruction set of general-...