Applications of two-faced processes to random number generation

Boris Ryabko, Nadezhda Savina

Результат исследования: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаярецензирование

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 оригиналаанглийский
Название основной публикации2016 15th International Symposium on Problems of Redundancy in Information and Control Systems, REDUNDANCY 2016
ИздательInstitute of Electrical and Electronics Engineers Inc.
Страницы132-136
Число страниц5
ISBN (электронное издание)9781509042319
DOI
СостояниеОпубликовано - 9 дек 2016
Событие15th International Symposium on Problems of Redundancy in Information and Control Systems, REDUNDANCY 2016 - Saint-Petersburg, Российская Федерация
Продолжительность: 26 сен 201629 сен 2016

Серия публикаций

Название2016 15th International Symposium on Problems of Redundancy in Information and Control Systems, REDUNDANCY 2016

Конференция

Конференция15th International Symposium on Problems of Redundancy in Information and Control Systems, REDUNDANCY 2016
СтранаРоссийская Федерация
ГородSaint-Petersburg
Период26.09.201629.09.2016

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    Ryabko, B., & Savina, N. (2016). Applications of two-faced processes to random number generation. В 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