-
2
-
-
0003597645
-
-
M. Soderstrand, W. K. Jenkins, G. A. Jullien, and F. Taylor, Residue Number Systems: Modern Applications in Digital Signal Processing. New York: IEEE, 1986.
-
Residue Number Systems: Modern Applications in Digital Signal Processing. New York: IEEE, 1986.
-
-
Soderstrand, M.1
Jenkins, W.K.2
Jullien, G.A.3
Taylor, F.4
-
3
-
-
0022119543
-
-
Computing the discrete Fourier transform using residue number systems in a ring of algebraic integers, 31, pp. 580-588, 1985.
-
J. H. Cozzens and L. A. Finkelstein, "Computing the discrete Fourier transform using residue number systems in a ring of algebraic integers," IEEE Trans. Inform. Theory, vol. IT-31, pp. 580-588, 1985.
-
IEEE Trans. Inform. Theory, Vol. IT
-
-
Cozzens, J.H.1
Finkelstein, L.A.2
-
4
-
-
33747745590
-
-
Systolic RNS computation of the two-dimensional DCT in a ring of algebraic integers, in 20th Annu. Conf. Inform. Sci. Syst., Princeton Univ., Princeton, NJ, Mar1986, pp. 783-789.
-
A. L. Bequilard and S. D. O'Neil, "Systolic RNS computation of the two-dimensional DCT in a ring of algebraic integers," in Proc. 20th Annu. Conf. Inform. Sci. Syst., Princeton Univ., Princeton, NJ, Mar1986, pp. 783-789.
-
Proc.
-
-
Bequilard, A.L.1
O'Neil, S.D.2
-
5
-
-
0025657365
-
-
Residue arithmetic in rings of algebraic integers, in 1990, pp. . 1527-1530.
-
G. A. Ray, "Residue arithmetic in rings of algebraic integers," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process., 1990, pp. . 1527-1530.
-
Proc. IEEE Int. Conf. Acoust., Speech, Signal Process.
-
-
Ray, G.A.1
-
6
-
-
33747705035
-
-
A number system with an irrational base, vol. 31, pp. 98-119, 1957.
-
G. Bergman, "A number system with an irrational base," Math. Mag., vol. 31, pp. 98-119, 1957.
-
Math. Mag.
-
-
Bergman, G.1
-
7
-
-
0029357355
-
-
Number theoretic transforms over the golden section quadratic field, vol. 43, pp. 1790-1797, Aug. 1995.
-
V. S. Dimitrov, T. V. Cooklev, and B. D. Donevsky, "Number theoretic transforms over the golden section quadratic field," IEEE Trans. Signal Process., vol. 43, pp. 1790-1797, Aug. 1995.
-
IEEE Trans. Signal Process.
-
-
Dimitrov, V.S.1
Cooklev, T.V.2
Donevsky, B.D.3
-
8
-
-
33747654030
-
-
3rd ed. London, U.K.: Math. Cent. Tracts, 1987, vol. 155.
-
H. W. Lenstra, Jr. and R. Tijdeman, Eds., Computational Methods in Number Theory, 3rd ed. London, U.K.: Math. Cent. Tracts, 1987, vol. 155.
-
Computational Methods in Number Theory
-
-
Lenstra, H.W.1
Jr2
Tijdeman, R.3
Eds4
-
9
-
-
0022809394
-
-
Techniques for computing the DFT using the quadratic Fermât residue number system, 35, pp. 1008-1012, Nov. 1986.
-
T. K. Truong, J. J. Chang, I. S. Hsu, D. Y. Pei, and I. S. Reed, "Techniques for computing the DFT using the quadratic Fermât residue number system," IEEE Trans. Comput., vol. C-35, pp. 1008-1012, Nov. 1986.
-
IEEE Trans. Comput., Vol. C
-
-
Truong, T.K.1
Chang, J.J.2
Hsu, I.S.3
Pei, D.Y.4
Reed, I.S.5
-
11
-
-
84902748454
-
-
Discrete cosine transform, 23, pp. 90-93, Jan. 1974.
-
N. Ahmed, T. Natarajan, and K. R. Rao, "Discrete cosine transform," IEEE Trans. Comput., vol. C-23, pp. 90-93, Jan. 1974.
-
IEEE Trans. Comput., Vol. C
-
-
Ahmed, N.1
Natarajan, T.2
Rao, K.R.3
-
12
-
-
0029223753
-
-
Two algorithms for modular exponentiation using nonstandard arithmetics, 78-A, pp. 82-87, 1995.
-
V. S. Dimitrov and T. V. Cooklev, "Two algorithms for modular exponentiation using nonstandard arithmetics," IEICE Trans. Fundamentals, vol. E78-A, pp. 82-87, 1995.
-
IEICE Trans. Fundamentals, Vol. E
-
-
Dimitrov, V.S.1
Cooklev, T.V.2
-
13
-
-
84968491427
-
-
Computing time analysis for some arithmetic and algebraic algorithms, in 1968 Summer Inst. Symbolic Math. Comput., IBM Corp., Cambridge, MA, 1969, pp197-231.
-
G. E. Collins, "Computing time analysis for some arithmetic and algebraic algorithms," in Proc. 1968 Summer Inst. Symbolic Math. Comput., IBM Corp., Cambridge, MA, 1969, pp197-231.
-
Proc.
-
-
Collins, G.E.1
-
14
-
-
0010164321
-
-
On the uniqueness of the expansion 1 = 51 8~'' vol. 58, pp. 333-342, 1991.
-
P. Erdos, M. Horvath, and I. Joo, "On the uniqueness of the expansion 1 = 51 8~''" Acta Mathematica Hungarica, vol. 58, pp. 333-342, 1991.
-
Acta Mathematica Hungarica
-
-
Erdos, P.1
Horvath, M.2
Joo, I.3
-
15
-
-
0024916556
-
-
Algebraic-integer quantization and residue number system processing, in 1989, vol. D3.15, pp. 948-951.
-
R. A. Games, D. Moulin, S. D. O'Neil, and J. Rushanan, "Algebraic-integer quantization and residue number system processing," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process., 1989, vol. D3.15, pp. 948-951.
-
Proc. IEEE Int. Conf. Acoust., Speech, Signal Process.
-
-
Games, R.A.1
Moulin, D.2
O'Neil, S.D.3
Rushanan, J.4
-
16
-
-
84888997662
-
-
Convolutions over residue classes of quadratic integers, 21, pp. 468-475, 1976.
-
I. S. Reed and T. K. Truong, "Convolutions over residue classes of quadratic integers," IEEE Trans. Inform. Theory, vol. IT-21, pp. 468-475, 1976.
-
IEEE Trans. Inform. Theory, Vol. IT
-
-
Reed, I.S.1
Truong, T.K.2
-
17
-
-
33749334872
-
-
Les probabilities denumbrables et leurs applications arithmé tiques, vol. 27, pp. 247-271, 1909.
-
E. Borel, "Les probabilities denumbrables et leurs applications arithmé tiques," Rend. Cire. Math., Palermo, vol. 27, pp. 247-271, 1909.
-
Rend. Cire. Math., Palermo
-
-
Borel, E.1
-
18
-
-
0001722589
-
-
Worst-case complexity bounds for algorithms in the theory of integral quadratic forms, vol. 1, pp. 142-186, 1980.
-
J. C. Lagarias, "Worst-case complexity bounds for algorithms in the theory of integral quadratic forms," J. Algorithms, vol. 1, pp. 142-186, 1980.
-
J. Algorithms
-
-
Lagarias, J.C.1
-
19
-
-
33747710947
-
-
Probabilistic algorithms in finite fields, vol. 9, pp. 273-280, 1980.
-
M. O. Rabin, "Probabilistic algorithms in finite fields," SIAM J. Comput., vol. 9, pp. 273-280, 1980.
-
SIAM J. Comput.
-
-
Rabin, M.O.1
-
20
-
-
0022807029
-
-
A simple and fast probabilistic algorithm for computing square roots modulo a prime number, 32, pp. 846-847, 1986.
-
R. Peralta, "A simple and fast probabilistic algorithm for computing square roots modulo a prime number," IEEE Trans. Inform. Theory, vol. IT-32, pp. 846-847, 1986.
-
IEEE Trans. Inform. Theory, Vol. IT
-
-
Peralta, R.1
-
21
-
-
84976706595
-
-
Realistic analysis of some randomized algorithms, vol. 18, pp. 110-121, 1991.
-
E. Bach, "Realistic analysis of some randomized algorithms," J. Comput. Syst. Sci., vol. 18, pp. 110-121, 1991.
-
J. Comput. Syst. Sci.
-
-
Bach, E.1
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