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- W1999160539 abstract "Cryptanalysis needs a lot of pseudo-random numbers. In particular, a sequence of independent and identically distributed (i.i.d.) binary random variables plays an important role in modern digital communication systems. Sufficient conditions have been recently provided for a class of ergodic maps of an interval onto itself: R 1 → R 1 and its associated binary function to generate a sequence of i.i.d. random variables. In order to get more i.i.d. binary random vectors, Jacobian elliptic Chebyshev rational map, its derivative and second derivative which define a Jacobian elliptic space curve have been introduced. Using duplication formula gives three-dimensional real-valued sequences on the space curve onto itself: R 3 → R 3 . This also defines three projective onto mappings, represented in the form of rational functions of x n , y n , z n . These maps generate a three-dimensional sequence of i.i.d. random vectors." @default.
- W1999160539 created "2016-06-24" @default.
- W1999160539 creator A5048374126 @default.
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- W1999160539 date "2007-10-01" @default.
- W1999160539 modified "2023-09-23" @default.
- W1999160539 title "SOLVABLE THREE-DIMENSIONAL RATIONAL CHAOTIC MAP DEFINED BY JACOBIAN ELLIPTIC FUNCTIONS" @default.
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- W1999160539 doi "https://doi.org/10.1142/s0218127407019500" @default.
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