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BibTeX entry
@Article{Talahmeh:2000:ADR,
author = "S. Talahmeh and P. Siy",
title = "Arithmetic division in {RNS} using {Galois Field
GF($p$)}",
journal = j-COMPUT-MATH-APPL,
volume = "39",
number = "5--6",
pages = "227--238",
month = mar,
year = "2000",
CODEN = "CMAPDK",
DOI = "https://doi.org/10.1016/S0898-1221(00)00056-0",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
bibdate = "Wed Mar 1 21:49:07 MST 2017",
bibsource = "http://www.math.utah.edu/pub/tex/bib/computmathappl2000.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0898122100000560",
abstract = "This paper develops an enhanced algorithm for the
arithmetic division problem in the Residue Number
System. The proposed algorithm is based on Galois Field
Theory GF($p$ ). Mapping the arithmetic division
problem over the Galois Field GF($p$ ) eliminates many
of the limitations of existing algorithms. The
advantage of the proposed algorithm is that it has no
restriction on the dividend and the divisor, no mixed
radix conversion, no quotient estimation before
division, no reciprocal estimation of the divisor, and
no based extension operation.",
acknowledgement = ack-nhfb,
fjournal = "Computers and Mathematics with Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/08981221",
}
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- $p$,
39(11)67,
42(6)927,
46(1)1,
46(1)57,
46(1)81,
46(1)125,
46(10)1525,
47(4)667,
48(5)913,
48(12)1811,
50(3)359,
50(5)729,
52(6)1079,
53(5)706,
53(9)1367,
53(10)1473,
54(4)484,
54(6)793,
55(4)636,
55(4)851,
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56(1)127,
56(2)530,
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56(9)2340,
57(1)54,
58(6)1103,
58(6)1183,
58(7)1425,
58(9)1736,
58(10)2060
- arithmetic,
39(3)264,
39(7)266,
52(6)853,
56(4)1114
- based,
39(12)91,
40(6)845,
41(3)373,
41(12)1579,
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42(1)189,
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43(8)927,
43(10)1441,
44(7)957,
44(8)1109,
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46(2)429,
46(5)891,
46(5)929,
46(10)1559,
47(2)217,
47(4)631,
47(6)893,
47(6)947,
47(8)1155,
48(7)1077,
48(10)1415,
48(10)1619,
49(7)1213,
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49(11)1951,
50(3)359,
50(3)623,
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51(5)769,
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52(3)421,
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55(11)2680,
56(1)143,
56(2)367,
56(5)1434,
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56(7)1861,
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56(8)2079,
56(10)2550,
57(1)67,
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57(6)1057,
57(8)1265,
57(8)1365,
57(9)1494,
57(10)1672,
57(11)1724,
57(11)1756,
57(11)1829,
57(11)1835,
57(11)1862,
57(11)1883,
57(11)1901,
57(11)1929,
57(11)1943,
57(11)2030,
58(1)25,
58(1)189,
58(6)1190,
58(7)1441,
58(9)1769,
58(10)1936,
64(9)2961
- conversion,
49(2)321,
59(1)595
- dividend,
56(3)822
- division,
46(8)1173
- divisor,
49(11)1643,
51(12)1817
- enhanced,
55(11)2458,
56(12)3138
- estimation,
39(12)29,
40(2)261,
41(5)735,
42(10)1331,
43(6)707,
44(12)1493,
45(4)563,
46(7)1009,
46(10)1741,
50(10)1677,
51(2)269,
51(2)345,
51(3)397,
51(5)713,
51(6)1113,
51(9)1437,
51(9)1519,
52(8)1205,
52(8)1289,
52(10)1511,
55(1)23,
55(6)1075,
55(8)1686,
55(9)1998,
56(3)709,
57(6)1037,
58(6)1160
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39(1)45,
40(1)63,
40(2)417,
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45(12)1849,
46(8)1263,
47(2)327,
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50(7)1167,
51(2)247,
55(4)760,
56(4)898,
56(10)2638,
57(3)445,
58(11)2103
- field,
40(4)523,
41(7)1043,
41(9)1099,
42(1)91,
42(12)1527,
43(6)631,
47(8)1481,
51(3)387,
51(3)643,
51(6)1103,
52(3)485,
53(3)665,
53(7)1074,
54(1)38,
54(5)627,
55(6)1333,
55(8)1766,
56(3)657,
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58(3)422,
58(5)898
- many,
40(6)721,
41(7)917,
47(1)115,
51(12)1817,
56(5)1303
- mapping,
40(1)157,
40(2)415,
40(10)1117,
40(10)1127,
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51(12)1741,
51(12)1809,
52(10)1403,
53(3)665,
53(5)803,
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53(9)1380,
53(10)1567,
53(10)1627,
53(11)1718,
53(12)1792,
53(12)1847,
54(4)476,
54(4)579,
54(6)872,
55(3)485,
55(8)1785,
55(9)2173,
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55(12)2740,
55(12)2999,
56(8)1954,
56(8)2058,
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57(7)1142,
57(10)1701,
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58(9)1755
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39(1)169,
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57(8)1272,
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- number,
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56(11)2786,
57(1)67,
57(3)413,
57(4)677,
58(4)717,
58(5)823,
58(9)1769
- operation,
40(10)1253,
41(5)697,
42(1)211,
42(10)1365,
45(10)1601,
47(2)217,
47(4)631,
47(6)1141,
47(6)1146,
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56(5)1322,
56(5)1402,
56(6)1545,
56(8)2054,
57(9)1547
- paper,
39(3)261,
39(7)265,
40(2)417,
45(4)783,
45(10)1779,
46(2)520,
46(5)983,
47(8)1486,
50(8)1291,
56(6)1662,
61(5)1468
- proposed,
56(1)1
- reciprocal,
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- residue,
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44(12)1581
- restriction,
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- RNS,
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- Siy, P.,
44(12)1581,
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- theory,
39(1)55,
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