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Over an additive abelian group G of order g and for a given positive integer λ, a generalized Hadamard matrix GH(g, λ) is defined as a gλ × gλ matrix [h(i, j)], where 1 ≤ i ≤ gλ and 1 ≤ j· ≤ gλ, such that every element of G appears exactly λ times in the list h{i1, 1) − h(i2,1), h(i1, 2) − h(i2, 2), …, h(i1, gλ) − h(i2, gλ), for any i1 ≠ i2. In this paper, we propose a new method of expanding a GH(g...
Recently, Scholtz and Welch showed how Gordon-Mills-Welch (GMW) difference sets could be made to yield sequences which in addition to sharing identical full-period correlation properties with m-sequences also have large linear span. In this paper, we examine the partial-period (p-p) correlation properties of GMW sequences and provide closed-form expressions for their even p-p correlation moments....
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