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- Zongduo Dai
- Journal of Cryptology
- 1992

We derive pseudorandom binary sequences from maximal length sequences over the integral residue rings. We prove that these derived binary sequences have guaranteed large periods, and we also obtain upper bounds on their minimal polynomials in the sense of the partial order defined by divisibility.

- Dingfeng Ye, Zongduo Dai, Kwok-Yan Lam
- Journal of Cryptology
- 2001

Given the algebraic expression of the composition of two mappings how can one identify the two components? This is the problem of mapping decomposition, of which the usual function-decomposition problem [8] is a special case. It was believed that this problem is intractable in general. Some public key cryptosystems (PKC) are based on the difficulty of thisā¦ (More)

The classical continued fraction is generalized for studying the rational approximation problem on multi-formal Laurent series in this paper, the construction is called m-continued fraction. It is proved that the approximants of an m-continued fraction converge to a multiformal Laurent series, and are best rational approximations to it; conversely for anyā¦ (More)

- Thomas Beth, Zongduo Dai
- EUROCRYPT
- 1989

- Shaoquan Jiang, Zongduo Dai, Kyoki Imamura
- IEEE Trans. Information Theory
- 2000

- Zongduo Dai
- IEEE Trans. Information Theory
- 1986

- Zongduo Dai, Thomas Beth, Dieter Gollmann
- EUROCRYPT
- 1990

- Zongduo Dai, Kyoki Imamura, Junhui Yang
- SETA
- 2004

- Zongduo Dai, Jun-Hui Yang
- EUROCRYPT
- 1991

- Zongduo Dai, Guang Gong, Hong-Yeop Song, Dingfeng Ye
- IEEE Transactions on Information Theory
- 2011

Let p = ef + 1 be an odd prime for some e and e and let f, be the finite field with F<sub>p</sub> elements. In this paper, we explicitly describe the trace representations of the binary characteristic sequences (of period p) of all the cyclic difference sets D which are some union of cosets of eth powers H<sub>e</sub> in F<sub>p</sub>* (=<sup>Δ</sup>ā¦ (More)