Relative Difference Sets, Planar Functions, and Generalized Hadamard Matrices
S.L. Ma,Alexander Pott +1 more
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TLDR
In this paper, an abelian (p a, p b, p b, p a, p a − b )-difference set in G relative to N is characterized with = 2 and = 1.About:
This article is published in Journal of Algebra.The article was published on 1995-07-15 and is currently open access. It has received 27 citations till now. The article focuses on the topics: Abelian group & Exponent.read more
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A family of skew Hadamard difference sets
Cunsheng Ding,Jin Yuan +1 more
TL;DR: A family of new perfect nonlinear functions are presented, and it is shown that some of the skew Hadamard difference sets presented in this paper are inequivalent to the Paley-Hadamards difference sets.
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A Unifying Construction for Difference Sets
James A. Davis,Jonathan Jedwab +1 more
TL;DR: A recursive construction for difference sets is presented which unifies the Hadamard, McFarland, and Spence parameter families and deals with all abelian groups known to contain such difference sets.
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On non-existence of perfect and nearly perfect sequences
Siu Lun Ma,Wei Shean Ng +1 more
TL;DR: The complex p-ary perfect and nearly perfect sequences where p is an odd prime are studied and it is shown that the existence of such sequences is equivalent to theexistence of certain kinds of difference sets.
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New nearly optimal codebooks from relative difference sets
Zhengchun Zhou,Xiaohu Tang +1 more
TL;DR: A general connection between complex codebooks andrelative difference sets is introduced and several classes of codebooks nearly meeting the Welch bound are constructed from some known relative difference sets using the general connection.