Finite Fields and Applications: Proceedings of the Third International Conference, Glasgow, July 1995 (London Mathematical Society Lecture Note Series, Series Number 233)

Finite fields are algebraic structures in which there is much research interest. This book gives a state-of-the-art account of finite fields and their applications in communications (coding theory, cryptology), combinatorics, design theory, quasirandom points, algorithms and their complexity. Typically, theory and application are tightly interwoven in the survey articles and original research papers included here. The book also demonstrates interconnections with other branches of pure mathematics such as number theory, group theory and algebraic geometry. This volume is an invaluable resource for any researcher in finite fields or related areas. Finite Fields Are Algebraic Structures In Which There Is Much Research Interest And They Have Been Shown To Have A Wide Range Of Applications. These Proceedings Give A State-of-the-art Account Of The Area Of Finite Fields And Their Applications In Communications (coding Theory, Cryptology), Combinatorics, Design Theory, Quasirandom Points, Algorithms And Their Complexity. Typically, Theory And Application Are Tightly Interwoven In The Survey Articles And Original Research Papers Included Here. These Also Demonstrate Inter-connections With Other Branches Of Pure Mathematics Such As Number Theory, Group Theory And Algebraic Geometry. This Volume Is An Invaluable Resource For Any Researcher In Finite Fields Or Related Areas. Edited By S. Cohen, H. Niederreiter. Proceedings Of The Third International Conference On Finite Fields And Applications Held At The University Of Glasgow, Scotland, 11-14 July, 1995--pref. Includes Bibliographical References. ABSTRACT. Partitions of roots of unity lead to factorizations of univariate polynomials over finite fields which in turn lead to certain multivariate factorizations of Generalized Artin Scheier polynomials.