International Association for Cryptologic Research

International Association
for Cryptologic Research


Paper: Multi-sequences with d-perfect property

Xiutao Feng
Quanlong Wang
Zongduo Dai
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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].
  title={Multi-sequences with d-perfect property},
  booktitle={IACR Eprint archive},
  keywords={foundations / multi-sequences,linear complexity profile,d-perfect,m-continued fraction},
  note={ 12486 received 16 Feb 2004, last revised 9 Mar 2004},
  author={Xiutao Feng and Quanlong Wang and Zongduo Dai},