BITS AND RELATIVE ORDER FROM RESIDUES, SPACE EFFICIENTLY

被引:17
作者
DIETZ, PF [1 ]
MACARIE, II [1 ]
SEIFERAS, JI [1 ]
机构
[1] UNIV ROCHESTER,DEPT COMP SCI,ROCHESTER,NY 14627
关键词
COMPUTATIONAL COMPLEXITY; RESIDUE NUMBER SYSTEM; CHINESE REMAINDER THEOREM; BINARY REPRESENTATION; SIGN DETECTION; PARITY DETECTION; SPACE COMPLEXITY;
D O I
10.1016/0020-0190(94)00021-2
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
For each k, let P(k) be the product of the first k primes. Each integer in the interval [0, P(k)) is determined by its residues modulo these k primes. We address the problems of space-efficiently computing the bits and the relative order of such numbers from their residues.
引用
收藏
页码:123 / 127
页数:5
相关论文
共 18 条
[1]   RELATING TIME AND SPACE TO SIZE AND DEPTH [J].
BORODIN, A .
SIAM JOURNAL ON COMPUTING, 1977, 6 (04) :733-744
[2]  
CHOR B, 1986, 2 ISSUES PUBLIC KEY
[3]   FAST PARALLEL ARITHMETIC VIA MODULAR REPRESENTATION [J].
DAVIDA, GI ;
LITOW, B .
SIAM JOURNAL ON COMPUTING, 1991, 20 (04) :756-765
[4]  
Garner H. L., 1959, IRE T ELECTRON COMPU, V8, P140, DOI DOI 10.1109/TEC.1959.5219515
[5]  
JUNG H, 1984, LECT NOTES COMPUT SC, V172, P281
[6]  
Keir Y. A., 1962, IRE T ELECTRON COM, V11, P501
[7]   A NOVEL DIVISION ALGORITHM FOR THE RESIDUE NUMBER SYSTEM [J].
LU, M ;
CHIANG, JS .
IEEE TRANSACTIONS ON COMPUTERS, 1992, 41 (08) :1026-1032
[8]  
MACARIE II, 1994, 11TH P ANN S THEOR A, V775, P109
[9]  
MILLER DD, 1983, 26TH P MIDW S CIRC S, P389
[10]   LOGARITHMIC DEPTH CIRCUITS FOR ALGEBRAIC-FUNCTIONS [J].
REIF, JH .
SIAM JOURNAL ON COMPUTING, 1986, 15 (01) :231-242