Pseudorandom number generation by p-adic ergodic transformations: an addendum

Details Pseudorandom number generation by p-adic ergodic transformations: an addendum Pseudorandom number generation by p-adic ergodic transformations: an addendum

2004-02-26

arxiv.org/abs/cs/0402060v1

"Applied Algebraic Dynamics", volume 49 of de Gruyter Expositions in Mathematics, 2009, 269-304

Computer Science

Cryptography and Security

9 pages, no figures, LaTeX 2e. An addendum to an earlier posting

Scientific paper

The paper study counter-dependent pseudorandom number generators based on $m$-variate ($m>1$) ergodic mappings of the space of 2-adic integers $\Z_2$. The sequence of internal states of these generators is defined by the recurrence law $\mathbf x_{i+1}= H^B_i(\mathbf x_i)\bmod{2^n}$, whereas their output sequence is %while its output sequence is of the $\mathbf z_{i}=F^B_i(\mathbf x_i)\mod 2^n$; here $\mathbf x_j, \mathbf z_j$ are $m$-dimensional vectors over $\Z_2$. It is shown how the results obtained for a univariate case could be extended to a multivariate case.

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