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Some relations between the irreducible polynomials over a finite field and its quadratic extension.
- Source :
-
Discrete Applied Mathematics . Feb2024, Vol. 344, p106-111. 6p. - Publication Year :
- 2024
-
Abstract
- In this paper, we establish some relations between irreducible polynomials over a finite field F q and its quadratic extension F q 2 . First we consider a relation between the numbers of irreducible polynomials of a fixed degree over F q and F q 2 , and some relations between self-reciprocal irreducible polynomials over F q and self-conjugate-reciprocal irreducible polynomials over F q 2 . We also obtain formulas for the number and the product of all self-conjugate-reciprocal irreducible monic (SCRIM) polynomials over F q 2 . [ABSTRACT FROM AUTHOR]
- Subjects :
- *QUADRATIC fields
*IRREDUCIBLE polynomials
*POLYNOMIALS
*FINITE fields
Subjects
Details
- Language :
- English
- ISSN :
- 0166218X
- Volume :
- 344
- Database :
- Academic Search Index
- Journal :
- Discrete Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 174338953
- Full Text :
- https://doi.org/10.1016/j.dam.2023.11.017