Cryptology ePrint Archive: Report 2004/228

DISTRIBUTION OF R-PATTERNS IN THE KERDOCK-CODE BINARY SEQUENCES AND THE HIGHEST LEVEL SEQUENCES OF PRIMITIVE SEQUENCES OVER $Z_{2^l}$

Honggang Hu and Dengguo Feng

Abstract: The distribution of r-patterns is an important aspect of pseudorandomness for periodic sequences over finite field.The aim of this work is to study the distribution of r-patterns in the Kerdock-code binary sequences and the highest level sequences of primitive sequences over $Z_{2^l}$.By combining the local Weil bound with spectral analysis,we derive the upper bound of the deviation to uniform distribution.As a consequence,the recent result on the quantity is improved.

Category / Keywords: foundations / pseudo-randomness

Date: received 7 Sep 2004

Contact author: hghu at ustc edu

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Version: 20040909:070553 (All versions of this report)

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