On finite pseudorandom binary lattices

Gyarmati, Katalin and Mauduit, Christian and Sárközy, András (2014) On finite pseudorandom binary lattices. DISCRETE APPLIED MATHEMATICS. ISSN 0166-218X (Submitted)

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Abstract

Pseudorandom binary sequences play a crucial role in cryptography. The classical approach to pseudorandomness of binary sequences is based on computational complexity. This approach has certain weak points thus in the last two decades years a new, more constructive and quantitative approach has been developed. Since multidimensional analogs of binary sequences (called binary lattices) also have important applications thus it is a natural idea to extend this new approach to the multidimensional case. This extension started with a paper published in 2006, and since that about 25 papers have been written on this subject. Here our goal is to present a survey of all these papers.

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