On the parity of the number of irreducible factors of self-reciprocal polynomials over finite fields (Q2469476)
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| Language | Label | Description | Also known as |
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| English | On the parity of the number of irreducible factors of self-reciprocal polynomials over finite fields |
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On the parity of the number of irreducible factors of self-reciprocal polynomials over finite fields (English)
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6 February 2008
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The authors consider the parity of the number of irreducible factors of a self-reciprocal even-degree polynomial over a finite field. They characterize these by employing the Stickelberger-Swan Theorem. In the case of binary fields, they present the conditions in terms of the exponents of the monomials of the corresponding self-reciprocal polynomials.
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Finite fields
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irreducible polynomials
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self-reciprocal polynomials
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