CryptoDB
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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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. |
BibTeX
@misc{eprint-2004-12198, title={DISTRIBUTION OF R-PATTERNS IN THE KERDOCK-CODE BINARY SEQUENCES AND THE HIGHEST LEVEL SEQUENCES OF PRIMITIVE SEQUENCES OVER $Z_{2^l}$}, booktitle={IACR Eprint archive}, keywords={foundations / pseudo-randomness}, url={http://eprint.iacr.org/2004/228}, note={ hghu@ustc.edu 12669 received 7 Sep 2004}, author={Honggang Hu and Dengguo Feng}, year=2004 }