[Resource Topic] 2004/228: DISTRIBUTION OF R-PATTERNS IN THE KERDOCK-CODE BINARY SEQUENCES AND THE HIGHEST LEVEL SEQUENCES OF PRIMITIVE SEQUENCES OVER $Z_{2^l}$

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Welcome to the resource topic for 2004/228

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

Authors: Honggang Hu, 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.

ePrint: https://eprint.iacr.org/2004/228

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