Almost difference sets and their sequences with optimal autocorrelation
IEEE Transactions on Information Theory
A new family of almost difference sets and some necessary conditions
IEEE Transactions on Information Theory
Complex Codebooks From Combinatorial Designs
IEEE Transactions on Information Theory
A Generic Construction of Complex Codebooks Meeting the Welch Bound
IEEE Transactions on Information Theory
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Ding and Feng (IEEE Trans Inform Theory 52(9):4229---4235, 2006, IEEE Trans Inform Theory 53(11):4245---4250, 2007) constructed series of (N, K) codebooks which meet or nearly meet the Welch bound $${\sqrt{\frac{N-K}{(N-1)K}}}$$ by using difference set (DS) or almost difference set (ADS) in certain finite abelian group respectively. In this paper, we generalize the cyclotomic constructions considered in (IEEE Trans Inform Theory 52(9):4229---4235, 2006, IEEE Trans Inform Theory 53(11):4245---4250, 2007) and (IEEE Trans Inform Theory 52(5), 2052---2061, 2006) to present more series of codebooks which nearly meet the Welch bound under looser conditions than ones required by DS and ADS.