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Majority and Other Polynomials in Minimal Clones

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2 Author(s)
Machida, H. ; Dept. of Math., Hitotsubashi Univ., Tokyo ; Waldhauser, T.

A minimal clone is an atom of the lattice of clones. A minimal function is, briefly saying, a function which generates a minimal clone. For a prime power k we consider the base set with k elements as a finite field GF(k). We present binary idempotent minimal polynomials and ternary majority minimal polynomials over GF(3) and generalize them to minimal polynomials over GF(k) for any prime power k ges3.

Published in:

Multiple Valued Logic, 2008. ISMVL 2008. 38th International Symposium on

Date of Conference:

22-24 May 2008