Finite Fields: Theory, Fundamental Properties and Applications
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| 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) |
| FullText | Links: – Type: ebook-pdf Text: Availability: 0 |
|---|---|
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| Items | – Name: Title Label: Title Group: Ti Data: Finite Fields: Theory, Fundamental Properties and Applications – Name: Abstract Label: Description Group: Ab Data: 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. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Simmons%2C+Janet%22">Simmons, Janet</searchLink> – Name: TypePub Label: Resource Type Group: TypPub Data: eBook. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Finite+fields+%28Algebra%29%22">Finite fields (Algebra)</searchLink> – Name: SubjectBISAC Label: Categories Group: Su Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Algebra+%2F+Intermediate%22">MATHEMATICS / Algebra / Intermediate</searchLink> |
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| RecordInfo | BibRecord: BibEntity: Classifications: – Code: 512.3 Scheme: ddc Type: prePub Languages: – Code: eng Text: English Subjects: – SubjectFull: Finite fields (Algebra) Type: general Titles: – TitleFull: Finite Fields: Theory, Fundamental Properties and Applications Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Simmons, Janet – PersonEntity: Name: NameFull: Simmons, Janet IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2016 – D: 19 M: 01 Type: profile Y: 2017 Identifiers: – Type: isbn-print Value: 9781536103854 – Type: isbn-electronic Value: 9781536104004 Titles: – TitleFull: Finite Fields: Theory, Fundamental Properties and Applications Type: main |
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