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JOURNALS // Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography] // Archive

Mat. Vopr. Kriptogr., 2014 Volume 5, Issue 3, Pages 17–34 (Mi mvk127)

This article is cited in 1 paper

Nonabsolute bounds for incomplete exponential sums of elements of linear recurrent sequences and their applications

O. V. Kamlovsky

LLC "Certification Research Center", Moscow

Abstract: We establish several upper bounds for some classes of incomplete exponential sums over Galois rings. We apply these results to cross-correlation coefficients and distribution properties of linear recurrent sequences.

Key words: linear recurrent sequences, incomplete exponential sums, Galois rings, cross-correlation coefficients.

UDC: 511.216+519.113.6

Received 22.IV.2013

DOI: 10.4213/mvk127



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