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Title

On Generalization of Geffe¡¯s Generator

Author

Shimin Wei

Citation

Vol. 6  No. 8  pp. 161-165

Abstract

We present a new construction of a pseudorandom generator based on a simple combination of q+1 LFSRs over GF(q), which is a generalization of Geffe¡¯s generator is presented by P. R. Geffe. The construction has attractive properties as simplicity (conceptual and implementation-wise), scalability (hardware and security), proven minimal security conditions (period, linear complexity). In order to resist Siegenthaler's correlation attack, we introduce a new shrinking generator (called Geffe¡¯s shrinking generator) over GF(q), a conjecture for period of Geffe¡¯s shrinking generator is proposed.

Keywords

Stream cipher, pseudorandom sequence, linear complexity, Geffe¡¯s generator, Geffe¡¯s shrinking generator

URL

http://paper.ijcsns.org/07_book/200608/200608A24.pdf