ALGORITHMS FOR SOLVING SYSTEMS OF LINEAR DIOPHANTINE EQUATIONS IN RESIDUE RINGS

被引:7
作者
Kryvyi, S. L. [1 ]
机构
[1] Natl Acad Sci Ukraine, Inst Cybernet, Kiev, Ukraine
关键词
residue ring; linear Diophantine equation; basis of a solution set;
D O I
10.1007/s10559-007-0103-1
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
Algorithms are proposed that construct the basis of the set of solutions to a system of homogeneous or inhomogeneous linear Diophantine equations in a residue ring modulo n when the prime factors of n are known.
引用
收藏
页码:787 / 798
页数:12
相关论文
共 8 条
  • [1] AUTOMATIC TRANSLATION OF FORTRAN PROGRAMS TO VECTOR FORM
    ALLEN, R
    KENNEDY, K
    [J]. ACM TRANSACTIONS ON PROGRAMMING LANGUAGES AND SYSTEMS, 1987, 9 (04): : 491 - 542
  • [2] Cheremushkin A. V., 2002, LECT ARITHMETIC ALGO
  • [3] AN EFFICIENT INCREMENTAL ALGORITHM FOR SOLVING SYSTEMS OF LINEAR DIOPHANTINE EQUATIONS
    CONTEJEAN, E
    DEVIE, H
    [J]. INFORMATION AND COMPUTATION, 1994, 113 (01) : 143 - 172
  • [4] Donets G. A., 2002, KIBERN SIST ANAL, P98
  • [5] Donets G. A., 2005, THEORY OPTIMAL SOLUT, P15
  • [6] Kryviy S. L., 1999, KIBERN SIST ANAL, P12
  • [7] Kryvyi S. L., 2007, CYBERNET SYST, P15
  • [8] Kryvyi S. L., 2006, CYBERNET SYST, V2, P3