Description

Book Synopsis
This book provides new research in finite fields. Chapter One presents some techniques that rely on a combination of results from graph theory, finite fields, matrix theory, and finite geometry to researchers working in the area of preserver problems. It also gives a brief presentation of this research field to other mathematicians. Chapter Two contains a basic and self-contained introduction to classical coherent state transforms, namely classical wavelet and classical wave-packet transforms, on finite fields. Chapter Three proposes an intrinsic representation of finite mƟ extension as this is a tradition for finite extension fields. Chapter Four reviews mƟ cyclic codes on a mƟ field. Chapter Five discusses two problems of Carlitz and their generalisations.

Finite Fields: Theory, Fundamental Properties &

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    A Paperback / softback by Janet Simmons

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      Publisher: Nova Science Publishers Inc
      Publication Date: Publication Date: 30/04/2017
      ISBN13: 9781536103854, 978-1536103854
      ISBN10: 1536103853

      Description

      Book Synopsis
      This book provides new research in finite fields. Chapter One presents some techniques that rely on a combination of results from graph theory, finite fields, matrix theory, and finite geometry to researchers working in the area of preserver problems. It also gives a brief presentation of this research field to other mathematicians. Chapter Two contains a basic and self-contained introduction to classical coherent state transforms, namely classical wavelet and classical wave-packet transforms, on finite fields. Chapter Three proposes an intrinsic representation of finite mƟ extension as this is a tradition for finite extension fields. Chapter Four reviews mƟ cyclic codes on a mƟ field. Chapter Five discusses two problems of Carlitz and their generalisations.

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