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Windmill generators a generalization and an observation of how many there are
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- Smeets, B. J.M. (author)
- Lund University,Lunds universitet
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- Chambers, W. G. (author)
- King's College London
- Gunther, Christoph G. (editor)
- (creator_code:org_t)
- Berlin, Heidelberg : Springer Berlin Heidelberg, 1988
- 1988
- English 6 s.
- In: Advances in Cryptology — EUROCRYPT 1988 - Workshop on the Theory and Application of Cryptographic Techniques, Proceedings. - Berlin, Heidelberg : Springer Berlin Heidelberg. - 1611-3349 .- 0302-9743. - 9783540502517 ; 330 LNCS, s. 325-330
- Conference paper (peer-reviewed)
Abstract
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- The windmill technique has several practical advantageous over other techniques for high-speed generation or blockwise generation of pn-sequences. In this paper we generalize previous results by showing that if f(t)=α(t v) − β(t −v)t L is the minimal polynomial of a pn-sequence, then the sequence can be generated by a windmill generator. For L = 1,..127, and ν = 4, 8, 16 such that L ≡ ±3 mod 8 no irreducible polynomials f(t) were found. When L ≡ ±1 mod 8 the number of primitive f(t)’s was found to be approximately twice the expected number.
Subject headings
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
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