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- W2005798100 abstract "In a previous paper, [Des., Codes and Cryptogr.8(1996), 215–227]; we used Galois rings to construct partial difference sets, relative difference sets and a difference set. In the present paper, we first generalize and improve the construction of partial difference sets in [Des., Codes and Cryptogr.8(1996), 215–227]; also we obtain a family of relative difference sets from these partial difference sets. Second, we construct a class of relative difference sets in (Z4)2m+1⊕(Z4)r⊕(Z2⊕Z2)s,r+s=m, r, s⩾0 with respect to a subgroup (Z2)2m+1. These constructions make use of character sums from Galois rings, and relate relative difference sets to Hadamard difference sets." @default.
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- W2005798100 date "1996-11-01" @default.
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- W2005798100 title "Constructions of Partial Difference Sets and Relative Difference Sets Using Galois Rings II" @default.
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- W2005798100 doi "https://doi.org/10.1006/jcta.1996.0100" @default.
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