Paper 2004/043 Original: eprint.iacr.org/2004/043 ↗
Multi-sequences with d-perfect property
Abstract
Sequences with almost perfect linear complexity profile are defined by H.~Niederreiter[4]. C.P. Xing and K.Y. Lam[5, 6] extended this concept from the case of single sequences to the case of multi-sequences and furthermore proposed the concept of d-perfect. In this paper, based on the technique of m-continued fractions due to Dai et al, we investigate the property of d-perfect multi-sequences and obtain the sufficient and necessary condition on d-perfect property. We show that multi-sequences with d-perfect property are not always strongly d-perfect. In particular, we give one example to disprove the conjecture on d-perfect property of multi-sequences proposed by C.P. Xing in [6].
Metadata
- Available format(s)
PDF- Category
- Foundations
- Publication info
- Preprint.
- History
- 2004-03-09: last updated
- 2004-02-17: published
- Short URL
- https://ia.cr/2004/043
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2004/043,
author = {Xiutao Feng and Quanlong Wang and Zongduo Dai},
title = {Multi-sequences with d-perfect property},
howpublished = {Cryptology {ePrint} Archive, Paper 2004/043},
year = {2004},
url = {https://eprint.iacr.org/2004/043}
}