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Modeling an Optimization Problem to Solve a System of Algebraic Equations for Cryptanalysis

Authors
Song, Jung HwanJang, Hwan Seok
Issue Date
Nov-2010
Publisher
LIBRARY & INFORMATION CENTER, NAT DONG HWA UNIV
Keywords
Algebraic cryptanalysis; Numerical method; Optimization; Block cipher
Citation
JOURNAL OF INTERNET TECHNOLOGY, v.11, no.6, pp.875 - 878
Indexed
SCIE
SCOPUS
Journal Title
JOURNAL OF INTERNET TECHNOLOGY
Volume
11
Number
6
Start Page
875
End Page
878
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/173502
DOI
10.6138/JIT.2010.11.6.16
ISSN
1607-9264
Abstract
In this paper, we construct an optimization problem to solve a system of algebraic equations over a finite field Given a system of equations over finite field, we derive a system of equations over the real numbers from the given system We construct a model of an unconstrained optimization problem by using a penalty function We also show that an optimal solution to the unconstrained optimization problem is the solution of the original system of algebraic equations over a finite field
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COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)
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