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Please use this identifier to cite or link to this item: http://nbn-resolving.de/urn:nbn:de:hebis:34-2008091623844

Title: Divisibility of Trinomials by Irreducible Polynomials over F_2
Authors: Kim, RyulKoepf, Wolfram
???metadata.dc.subject.ddc???: 510 - Mathematik (Mathematics)
Issue Date: 2008
Series/Report no.: Mathematische Schriften Kassel08, 07
Abstract: Irreducible trinomials of given degree n over F_2 do not always exist and in the cases that there is no irreducible trinomial of degree n it may be effective to use trinomials with an irreducible factor of degree n. In this paper we consider some conditions under which irreducible polynomials divide trinomials over F_2. A condition for divisibility of self-reciprocal trinomials by irreducible polynomials over F_2 is established. And we extend Welch's criterion for testing if an irreducible polynomial divides trinomials x^m + x^s + 1 to the trinomials x^am + x^bs + 1.
URI: urn:nbn:de:hebis:34-2008091623844
Appears in Collections:Mathematische Schriften Kassel

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