A note on composed products of polynomials over finite fields

作者：Stichtenoth Henning^*

来源：Designs, Codes and Cryptography, 2014, 73(1): 27-32.

DOI：10.1007/s10623-013-9808-5

• Finite fields
• Composed product
• Irreducible polynomial

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 having certain properties. In this paper we classify all such binary operations when (which is the most interesting case) and show that field addition and field multiplication are essentially the only such operations.

• 出版日期2014-10