Maximal length cellular automata in GF(q) and pseudo-random number generation

被引：0

作者：

Adak, Sumit ^{[1
]}

Bhattacharjee, Kamalika ^{[1
]}

Das, Sukanta ^{[1
]}

机构：

[1] Indian Inst Engn Sci & Technol, Dept Informat Technol, Howrah 711103, W Bengal, India

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 2020年 / 31卷 / 03期

关键词：

Pseudo-random number generator (PRNG); cellular automata (CAs); maximal length CA; primitive polynomial; linear rule; Diehard; PRIMITIVE POLYNOMIALS;

D O I：

10.1142/S0129183120500370

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This work explores the randomness quality of maximal length cellular automata (CAs) in GF(q), where q >= 2. A greedy strategy is chosen to select the candidate CAs which satisfy unpredictability criterion essential for a good pseudo-random number generator (PRNG). Then, performance of these CAs as PRNGs is empirically analyzed by using Diehard battery of tests. It is observed that, up to GF(11), increase in q improves randomness quality of the CAs, but after that, it saturates. Finally, we propose an implementable design of a good PRNG based on a 13-cell maximal length cellular automaton over GF(11) which can compete with the existing well-known PRNGs.

引用

页数：21

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