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2015•Repository of the Academy's Library (Library of the Hungarian Academy of Sciences)Open access

Generation of further pseudorandom binary sequences, I (Blowing up a single sequence)

Christian Mauduit, Katalin Gyarmati, Andràs Sárközy

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Abstract

Assume that a binary sequence is given with strong pseudorandom properties. An algorithm is presented and studied which prepares many further binary sequences from the given one. It is shown that if certain conditions hold then each of the sequences obtained in this way also possesses strong pseudorandom properties. Moreover, \nit is proved that certain large families of these sequences also posses strong pseudorandom properties.

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Assume that a binary sequence is given with strong pseudorandom properties. An algorithm is presented and studied which prepares many further binary sequences from the given one. It is shown that if certain conditions hold then each of the sequences obtained in this way also possesses strong pseudorandom properties. Moreover, \nit is proved that certain large families of these sequences also posses strong pseudorandom properties.

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Available abstract

Assume that a binary sequence is given with strong pseudorandom properties. An algorithm is presented and studied which prepares many further binary sequences from the given one. It is shown that if certain conditions hold then each of the sequences obtained in this way also possesses strong pseudorandom properties. Moreover, \nit is proved that certain large families of these sequences also posses strong pseudorandom properties.

Key concepts: Pseudorandom number generator, Pseudorandom binary sequence, Sequence (biology), Binary number, Pseudorandom generator theorem, Pseudorandom noise, Algorithm, Pseudorandomness

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