Finite Fields: Theory, Fundamental Properties and Applications
Saved in:
| Title: | Finite Fields: Theory, Fundamental Properties and Applications |
|---|---|
| Description: | 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 recent results concerning the number of solutions to certain equations in several variables over finite fields. |
| Authors: | Simmons, Janet |
| Resource Type: | eBook. |
| Subjects: | Finite fields (Algebra) |
| Categories: | MATHEMATICS / Algebra / Intermediate |
| Database: | eBook Collection (EBSCOhost) |
| Abstract: | 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 recent results concerning the number of solutions to certain equations in several variables over finite fields. |
|---|---|
| ISBN: | 9781536103854 9781536104004 |
