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:
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)
- 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:
Nov 5, 2024
In our library since:
Aug 17, 2020
Number of object content hits:
82
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/64037
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International Journal of Applied Mathematics and Computer Science (AMCS)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 25 (2015)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 24 (2014)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 23 (2013)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 22 (2012)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 21 (2011)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 20 (2010)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 19 (2009)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 18 (2008)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 17 (2007)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 16 (2006)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 15 (2005)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 13 (2003)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 12 (2002)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 11 (2001)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 10 (2000)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 9 (1999)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 8 (1998)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 7 (1997)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 6 (1996)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 5 (1995)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 5, number 1 (1995)
- Controllability and minimum energy control of 2-D continuous-discrete linear systems
- Multidimensional spectral factorization through the reduction method of multidimensional polynomial factorization
- Determination of the stability of a non-linear ordinary differential equation by least square approximation. Computational procedure
- Analysis and application of output robustness for non-linear systems
- Compensator design for the Kirchoff plate model with boundary control
- Throughflow of a Bingham fluid in a slot between rotating surfaces of revolution
- Analog neural networks for solving in real-time linear inverse and total least squares problems
- Operational rate distortion theory
- Spurious Galois fields
- Structuring the message-passing channels
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 5, number 2 (1995)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 5, number 3 (1995)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 5, number 4 (1995)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 5, number 1 (1995)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 4 (1994)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 3 (1993)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 2 (1992)
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International Journal of Applied Mathematics and Computer Science (AMCS),volume 1 (1991)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
| Edition name | Date |
|---|---|
| Spurious Galois fields | Nov 5, 2024 |
