Article
Generation of Further Pseudorandom Binary Sequences, I (Blowing up a Single Sequence)
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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 bi- nary 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, it is proved that certain large families of these sequences also posses strong pseudorandom properties.
Keywords
pseudorandom, families of binary sequences, well-distribution, correlation, family.
Citation
Gyarmati, K., Mauduit, C., & Sarkozy, A. (2015). Generation of further pseudorandom binary sequences, i (blowing up a single sequence). Uniform Distribution Theory, 10(1), 35–61.
K. Gyarmati, C. Mauduit and A. Sarkozy, “Generation of further pseudorandom binary sequences, i (blowing up a single sequence),” Uniform Distribution Theory, vol. 10, no. 1, pp. 35–61, 2015.
Gyarmati K, Mauduit C, Sarkozy A. Generation of further pseudorandom binary sequences, i (blowing up a single sequence). Uniform Distribution Theory. 2015;10(1):35–61.
Gyarmati, K., Mauduit, C. and Sarkozy, A. (2015), ‘Generation of further pseudorandom binary sequences, i (blowing up a single sequence)’, Uniform Distribution Theory, 10(1), pp. 35–61.
Gyarmati, Katalin, et al. “Generation of Further Pseudorandom Binary Sequences, I (Blowing up a Single Sequence).” Uniform Distribution Theory, vol. 10, no. 1, 2015, pp. 35–61.
Gyarmati, Katalin, Christian Mauduit, and Andras Sarkozy. “Generation of Further Pseudorandom Binary Sequences, I (Blowing up a Single Sequence).” Uniform Distribution Theory 10, no. 1 (2015): 35–61.
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Published by: Engineering Journals
