### Аннотация

Random and pseudorandom number generators (RNG and PRNG) are used for many purposes including cryptographic, modeling and simulation applications. For such applications a generated bit sequence should mimic true random, i.e., by definition, such a sequence could be interpreted as the result of the flips of a fair coin with sides that are labeled 0 and 1 (i.e., it is the Bernoulli process with p(0) = p(1) = 1/2). It is known that the Shannon entropy of this process is 1 per letter, whereas for any other stationary process with binary alphabet the Shannon entopy is stricly less than 1. On the other hand, the entropy of the PRNG output should be much less than 1 bit (per letter), but the output sequence should look like truly random. We describe random processes for which these, contradictory at first glance, properties, are valid. More precisely, it is shown that there exist binary-alphabet random processes whose entropy is less than 1 bit (per letter), but the frequency of occurrence of any word u goes to 2^{-u}, where u is the length of u. In turn, it gives a possibility to construct RNG and PRNG which possess theoretical guarantees. This possibility is important for applications such as those in cryptography. We performed some experiments in which low-entropy sequences are transformed into two-faced sequences.

Язык оригинала | английский |
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Название основной публикации | 2016 15th International Symposium on Problems of Redundancy in Information and Control Systems, REDUNDANCY 2016 |

Издатель | Institute of Electrical and Electronics Engineers Inc. |

Страницы | 132-136 |

Число страниц | 5 |

ISBN (электронное издание) | 9781509042319 |

DOI | |

Состояние | Опубликовано - 9 дек 2016 |

Событие | 15th International Symposium on Problems of Redundancy in Information and Control Systems, REDUNDANCY 2016 - Saint-Petersburg, Российская Федерация Продолжительность: 26 сен 2016 → 29 сен 2016 |

### Серия публикаций

Название | 2016 15th International Symposium on Problems of Redundancy in Information and Control Systems, REDUNDANCY 2016 |
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### Конференция

Конференция | 15th International Symposium on Problems of Redundancy in Information and Control Systems, REDUNDANCY 2016 |
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Страна | Российская Федерация |

Город | Saint-Petersburg |

Период | 26.09.2016 → 29.09.2016 |

## Fingerprint Подробные сведения о темах исследования «Applications of two-faced processes to random number generation». Вместе они формируют уникальный семантический отпечаток (fingerprint).

## Цитировать

*2016 15th International Symposium on Problems of Redundancy in Information and Control Systems, REDUNDANCY 2016*(стр. 132-136). [7779347] (2016 15th International Symposium on Problems of Redundancy in Information and Control Systems, REDUNDANCY 2016). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/RED.2016.7779347