Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: Spurious Galois fields
Contributor:
Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
Group publication title:
Abstract:
An algebraic system consisting of a finite set of "q" elements with two internal binary operations of addition and multiplication is studied. For the described system, which satisfies all the axioms of the fields except for the axiom of associativity of addition, which may, but need not, be assured, the name spurious Galois field and the symbol "SGF(q)" are proposed. ; The spurious Galois fields constitute a class of algebraic systems, containing all the Galois fields as its small subclass; therefore, the presented problem can be considered as a generalization of finite fields. The way of forming the spurious Galois fields, the approach to computing in "SGF(q)" as well as some possibilities of applications of this algebraic structure in cryptography are discussed.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
Pages:
Source:
AMCS, volume 5, number 1 (1995) ; click here to follow the link
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (1995)
Last modified:
Jul 14, 2025
In our library since:
Aug 17, 2020
Number of object content hits:
125
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/64037
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| Edition name | Date |
|---|---|
| Spurious Galois fields | Jul 14, 2025 |
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