A note on composed products of polynomials over finite fields

Warning The system is temporarily closed to updates for reporting purpose.

Stichtenoth, Henning (2014) A note on composed products of polynomials over finite fields. Designs, Codes, and Cryptography, 73 (1). pp. 27-32. ISSN 0925-1022 (Print) 1573-7586 (Online)

Full text not available from this repository. (Request a copy)

Abstract

Brawley and Carlitz introduced the method of composed products in order to construct irreducible polynomials of large degree from polynomials of lower degree. A basic ingredient of their construction is a binary operation on a subset G⊆Fˉq having certain properties. In this paper we classify all such binary operations when |G|=∞ (which is the most interesting case) and show that field addition and field multiplication are essentially the only such operations.
Item Type: Article
Uncontrolled Keywords: Finite fields; Composed product; Irreducible polynomial
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: Henning Stichtenoth
Date Deposited: 23 Jul 2013 11:58
Last Modified: 01 Aug 2019 10:40
URI: https://research.sabanciuniv.edu/id/eprint/21700

Actions (login required)

View Item
View Item