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arxiv: 1801.08842 · v2 · pith:JJNM664Fnew · submitted 2018-01-26 · 🧮 math.RA

Self-Conjugate-Reciprocal Irreducible Monic Polynomials over Finite Fields

classification 🧮 math.RA
keywords polynomialsirreduciblemonicscrimfieldsfinitegivenself-conjugate-reciprocal
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The class of self-conjugate-reciprocal irreducible monic (SCRIM) polynomials over finite fields are studied. Necessary and sufficient conditions for monic irreducible polynomials to be SCRIM are given. The number of SCRIM polynomials of a given degree are also determined.

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