Topics in Galois Fields by Dirk Hachenberger
English | PDF | 2020 | 785 Pages | ISBN : 3030608042 | 7.04 MB
This monograph provides a self-contained presentation of the foundations of finite fields, including a detailed treatment of their algebraic closures. It also covers important advanced topics which are not yet found in textbooks: the primitive normal basis theorem, the existence of primitive elements in affine hyperplanes, and the Niederreiter method for factoring polynomials over finite fields.