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Multiplicative Difference Sets via Additive Characters (1999)

Dillon, J. F.

Springer

Designs, codes and cryptography 17 (1999), S. 225-235

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ISSN: 1573-7586

Keywords: cyclic difference set ; pseudorandom binary sequence ; ideal autocorrelation ; 3-valued cross-correlation ; m-sequence

Source: Springer Online Journal Archives 1860-2000

Topics: Computer Science , Mathematics

Notes: Abstract We use Fourier analysis on the additive group of $$\mathbb{F}_{2^m }$$ to give an alternative proof of the recent theorem of Maschietti and to prove recent conjectures of No, Chung and Yun and No, Golomb, Gong, Lee and Gaal on difference sets in the multiplicative group of $$\mathbb{F}_{2^m }$$ , m odd. Along the ay e prove a stronger form of a celebrated theorem of Welch on the 3-valued cross-correlation of maximal length sequences.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1026435428030

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