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Random numbers generated by linear recurrence modulo two
Author:
Robert C. Tausworthe
Journal:
Math. Comp. 19 (1965), 201-209
MSC:
Primary 65.15
MathSciNet review:
0184406
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References |
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Additional Information
- [1]
S. W. Golomb, Sequences with Randomness Properties, Martin Co., Baltimore, Md., 1955.
- [2]
Neal
Zierler, Linear recurring sequences, J. Soc. Indust. Appl.
Math. 7 (1959), 31–48. MR 0101979
(21 #781)
- [3]
L. Baumert, et al., Coding theory and its Applications to Communications Systems, Report 32-167, Jet Propulsion Laboratory, Pasadena, Calif., 1961.
- [4]
R. C. Titsworth & L. R. Welch, Modulation by Random and Pseudo-Random Sequences, Report 20-387, Jet Propulsion Laboratory, Pasadena, Calif., 1959.
- [5]
Antoni
Zygmund, Trigonometrical series, Dover Publications, New York,
1955. MR
0072976 (17,361e)
- [6]
W.
Wesley Peterson, Error-correcting codes, The M.I.T. Press,
Cambridge, Mass., 1961. MR 0121260
(22 #12003)
- [7]
S. W. Golomb, L. R. Welch & A. Hales, On the Factorization of Trinomials Over GF(2)," Report 20-189, Jet Propulsion Laboratory, Pasadena, Calif., 1959.
- [8]
E.
J. Watson, Primitive polynomials
(𝑚𝑜𝑑2), Math. Comp.
16 (1962),
368–369. MR 0148256
(26 #5764), http://dx.doi.org/10.1090/S0025-5718-1962-0148256-1
- [1]
- S. W. Golomb, Sequences with Randomness Properties, Martin Co., Baltimore, Md., 1955.
- [2]
- Neal Zierler, "Linear recurring sequences," J. Soc. Indust. Appl. Math., v. 7, 1959, pp. 31-48. MR 21 #781. MR 0101979 (21:781)
- [3]
- L. Baumert, et al., Coding theory and its Applications to Communications Systems, Report 32-167, Jet Propulsion Laboratory, Pasadena, Calif., 1961.
- [4]
- R. C. Titsworth & L. R. Welch, Modulation by Random and Pseudo-Random Sequences, Report 20-387, Jet Propulsion Laboratory, Pasadena, Calif., 1959.
- [5]
- A. Zygmund, Trigonometrical Series, Monogr. Mat., Bd. 5, Warsaw, 1935; reprint, Dover, New York, 1955; 2nd ed., Chelsea, New York, 1952; Russian transl., Moscow, 1939. MR 17, 361; MR 17, 844. MR 0072976 (17:361e)
- [6]
- W. W. Peterson, Error-Correcting Codes, M.I.T. Press, Cambridge and Wiley, New York, 1961, pp. 251-270. MR 22 #12003. MR 0121260 (22:12003)
- [7]
- S. W. Golomb, L. R. Welch & A. Hales, On the Factorization of Trinomials Over GF(2)," Report 20-189, Jet Propulsion Laboratory, Pasadena, Calif., 1959.
- [8]
- E. J. Watson, "Primitive polynomials
," Math. Comp. v. 16, 1962, pp. 368-369. MR 26 #5764. MR 0148256 (26:5764)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0025-5718-1965-0184406-1
PII:
S 0025-5718(1965)0184406-1
Article copyright:
© Copyright 1965 American Mathematical Society
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