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Quasi-Random Number Sequences from a Long-Period TLP Generator with Remarks on Application to Cryptography
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Volume 11 ,  Issue 4  (December 1979) table of contents
Pages: 357 - 370  
Year of Publication: 1979
ISSN:0360-0300
Authors
Herbert S. Bright  Computation Planning, Inc, 7840 Aberdeen Road, Bethesda, Maryland
Richard L. Enison  COMPLAN Fellow, Department of Mathematics, University of California, Berkeley, California
Publisher
ACM  New York, NY, USA
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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
BRIG76
BRIGHT, H. S, AND ENISON, R. L "Cryptography using modular software elements," in Proc. AFIPS NCC'76, Vo|. 45, AFIPS Press, Arhngton, Va., pp. 113- 123.
 
BRIG77
BRIGHT, H.S. "Cryptanalytic attack and defense," Cryptolog~a 1, 4 (Oct. 1977), 366-370 (text of COMPLAN TN-913-14, Sept. 25, 1977 version).
 
BRIG79
BRIGHT, H. S "High-speed indirect cryption," to appear in Cryptologta (text of COMPLAN TN-913-35, Oct. 5, 1979 version).
 
CARR70
CARROLL, J. M, AND MCLELLAND, P. M. "Fast infinite-key privacy transformation for resource-sharing systems," in Proc. 1970 AFIPS Fall Jt. Computer Conf., Vol. 87, AFIPS Press, Arlington, Va, pp. 223-230.
CHAI74
 
COMP76
COMPLAN. TLP sequence as key stream for Vernam cryptlon, Tech. Note TN-913-8d, Aug. 26, 1976.
 
COMP77a
COMPLAN. c r y p t o p a k@ software package technwal description, March 17, 1977 version (references a i fa b i t@ TD, April 13, 1976 version).
 
COMP77b
COMPLAN. One.way keyed and keyless ctphers; nonreproduc~ble cipher, Tech. Note TN-913-24, Feb. 28, 1977.
 
COMP78
COMPLAN Some considerations in the design and implementations of the QIK- CRYPT@ algorithm, Tech. Note TN-913- 33, July 28, 1978.
 
COOL65
COOLEY, J W., AND TUKE~, J.W. "An algorithm for the machine calculation of complex Fourier series," Math Comput. 19 (1965), 297-301.
COVE60
COVE67
 
ENIS76
ENISON, R. L., AND BRIGHT, H. S. "Preliminary statistical testing of a 64-bit Tausworthe-Lewis-Payne quaslrandom number generator of Mersenne exponent degree," Proc. 9th Interface Syrup Computer Sctence and Statistics, David C. Hoaghn and Roy E Welsch, Eds, Prindle, Weber and Schmidt, Boston, 1976, pp 208-211.
 
GAIT77a
GAIT, J "A new nonhnear pseudorandora number generator," IEEE Trans. Soflw. Eng. SE-3, 5 (Sept. 1977), 359-363.
 
GAIT77b
GAIT, J. Nat. Bur. Stand., personal communication, Feb. 28, 1977.
GREE59
 
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GREE~S~RG~R, M. "An a priori determination of serial correlation in computer generated random numbers," Math. Cornput. 15 (1961), 383-389.
 
GRUE51
GRUENBERGER, F., ANY MARK, A M. "The d2 test for random digits," MTAC 5 (1951), 109-110
 
INGE76
INGEr~AaSSON, i "Analysis of secret functions with application to computer cryptography," in Proc. AFIPS NCC '76, Vol. 45, AFIPS Press, Arlington, Va., pp. 125-127.
 
JUNC53
JUNCOSA, M. L. Random number generation on the BRL h~gh speed computing machine, BRL Rep. 855, 1953. We also reference telephone and written discusslons of congruentlal generators during Dec. 1975 and Feb. 1976.
 
KNUT65
KNUTH, D "Construction of a random sequence," BIT 5 (1965), 246-250.
 
KNUT69
 
LEHM51
LEHMER, D.H. "Mathematical methods in large-scale computing units," Ann. Comput. Lab. Harvard U. 26 (1951), 141- 146; see also LEHM76.
 
LEHM76
LEHMER, D. H Private communication, Feb. 12, 1976. Prof. Lehmer also showed analytically that the maximum distance one has been from the starting point is, for a congruential generator, independent of the number of steps, but increases monotone with period, and that for a Brownian motion the distance increases monotone with number of steps. He suggested that, m practice, such testmg should examine a small part of the path of a sequence of long period. We hope that he will be able to perform experiments of this type using a polyprocessor machine having the enormous power that will be required for practical results
 
LEWI73a
LEWIS, P. A. W., GOODMAN, A. S, AND MILLER, J. M "A pseudo-random number generator for the system/360," IBM Syst. J. 8 (1973), 456-468.
LEWI73b
 
LIND70
LINDGREN, B. W., AND MCELRATH, G. W. Introductmn to Probab~hty and Stat~stws, 3rd. ed., McMillan, New York, 1970, p 170.
MACL65
 
MARS68
MARSAGLIA, G. "Random numbers fall mainly in the planes," Proc. Nat. Acad. Sct. 6 (1968), 25-28.
 
MART66
MARTIN-LOF, P. "The definition of random sequences," Inf Control 9 (1966), 602-619.
MOSH54
 
NBS77
Data encryptmn standard, FIPS Publ. 46, Jan 1977, pp. 7-18.
 
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SHANNON, C.E. "Communication theory of secrecy systems," Bell Syst Tech. J 10 (1949), 656-715.
 
TAUS65
TAUSWORTHE, R.C. "Random numbers generated by linear recurrence modulo two," Math Comput. 19 (1965), 201-209. We also reference telephone discussions and correspondence on primitive trinomials Jan. 9 and Jan. 12, 1976.
 
THOM01
THOMAS, W. I. Am J. Socml 6 (1901), 750-763.
TOOT71
TOOT73
 
TUCK71
TUCKERMAN, B. "The 24th Mersenne prime," Proc Nat. Acad. Sct USA 68, 10 (Oct. 1971), 2319-2320 On the next three Mersenne primes, see news notes in Sct. Am. 240, 1 (Jan. 1979) 85, 88 (25th); 241, 3 (Sept. 1979), 32 (26th and 27th).
 
VERN26
VERNAM, G S. "Cipher printing telegraph systems for secret wtre and radio telegraphic communications," J. AIEE 45 (Jan. 1926), 109-115.
WHIT68
 
ZIER69
ZIERLER, N. "Primitive trinomials whose degree ts a Mersenne exponent," Inf. Control 15 (1969), 67-69; see also ZIERLER, N., AND J. BRILLHART, "On primitive tnnomials (rood 2)," pt. 1, Inf. Control 13 (1968), 541-554, pt. 2, Inf Control 14 (1969), 566- 569


Collaborative Colleagues:
Herbert S. Bright: colleagues
Richard L. Enison: colleagues