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Volumn 35, Issue 1, 2005, Pages 111-117

On the linear complexity and multidimensional distribution of congruential generators over elliptic curves

Author keywords

Elliptic curves; Exponential sums; Pseudorandom number generators

Indexed keywords

COMPUTATIONAL COMPLEXITY; ESTIMATION; FUNCTIONS; RANDOM NUMBER GENERATION; SET THEORY; THEOREM PROVING; VECTORS;

EID: 14844352218     PISSN: 09251022     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10623-003-6153-0     Document Type: Article
Times cited : (38)

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    • C. C. Y. Lam and G. Gong, Randomness of elliptic curve sequences, Research Report CORR 2002-18, Faculty of Math., Univ. Waterloo, Waterloo, (2002) pp. 1-11.
    • (2002) Research Report CORR 2002-18 , pp. 1-11
    • Lam, C.C.Y.1    Gong, G.2
  • 16
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    • Quasi-Monte Carlo methods and pseudo-random numbers
    • H. Niederreiter 1978 Quasi-Monte Carlo methods and pseudo-random numbers Bull. Amer. Math. Soc. 84 957 1041
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    • Niederreiter, H.1
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    • Linear complexity profiles: Hausdorff dimensions for almost perfect profiles and measures for general profiles
    • H. Niederreiter M. Vielhaber 1997 Linear complexity profiles: Hausdorff dimensions for almost perfect profiles and measures for general profiles J. Compl. 13 353 383
    • (1997) J. Compl. , vol.13 , pp. 353-383
    • Niederreiter, H.1    Vielhaber, M.2
  • 20
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    • On the Naor-Reingold pseudo-random number function from elliptic curves
    • I. E. Shparlinski 2000 On the Naor-Reingold pseudo-random number function from elliptic curves Appl. Algebra Eng., Commun. Comput. 11 27 34
    • (2000) Appl. Algebra Eng., Commun. Comput. , vol.11 , pp. 27-34
    • Shparlinski, I.E.1
  • 21
    • 0035546532 scopus 로고    scopus 로고
    • On the linear complexity of the Naor-Reingold pseudo-random function from elliptic curves
    • I. E. Shparlinski J. H. Silverman 2001 On the linear complexity of the Naor-Reingold pseudo-random function from elliptic curves Designs, Codes and Cryprography 24 279 289
    • (2001) Designs, Codes and Cryprography , vol.24 , pp. 279-289
    • Shparlinski, I.E.1    Silverman, J.H.2
  • 23
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    • Cyclicity statistics for elliptic curves over finite fields
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  • 24
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    • A note on the cyclicity of elliptic curves over finite field extensions
    • S. G. Vlǎduţ 1999 A note on the cyclicity of elliptic curves over finite field extensions Finite Fields Their Appl. 5 354 363
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    • Vlǎduţ, S.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.