On finite pseudorandom binary sequences VII: The measures of pseudorandomness
From MaRDI portal
Publication:4548854
DOI10.4064/aa103-2-1zbMath1126.11330OpenAlexW2016301514MaRDI QIDQ4548854
Julien Cassaigne, Christian Mauduit, András Sárközy
Publication date: 27 August 2002
Published in: Acta Arithmetica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4064/aa103-2-1
Related Items (55)
A complexity measure for families of binary sequences ⋮ On the typical values of the cross-correlation measure ⋮ On finite pseudorandom sequences of \(k\) symbols ⋮ Jump and hop randomness tests for binary sequences ⋮ GOWERS UNIFORMITY NORM AND PSEUDORANDOM MEASURES OF THE PSEUDORANDOM BINARY SEQUENCES ⋮ On pseudorandom binary sequences constructed by using finite fields ⋮ The cross-correlation measure of families of finite binary sequences: limiting distributions and minimal values ⋮ Sequences related to Legendre/Jacobi sequences ⋮ New generalized cyclotomic binary sequences of period \(p^2\) ⋮ On the correlation of families of pseudorandom sequences of $k$ symbols ⋮ On the limit distribution of the normality measure of random binary sequences ⋮ On the linear complexity of binary lattices ⋮ Families of Pseudorandom Binary Sequences with Low Cross-Correlation Measure ⋮ On the limit distribution of the well-distribution measure of random binary sequences ⋮ On discrete Fourier transform, ambiguity, and Hamming-autocorrelation of pseudorandom sequences ⋮ q-ADDITIVE FUNCTIONS ON POLYNOMIAL SEQUENCES ⋮ On the correlation measures of subsets ⋮ On pseudorandom properties of some Dirichlet characters ⋮ Random polynomials in Legendre symbol sequences ⋮ On the measures of pseudorandomness of binary sequences. ⋮ On the symmetry measure of pseudorandom subsets ⋮ More constructions of pseudorandom sequences of \(k\) symbols ⋮ Pseudo-randomness of certain sequences of \(k\) symbols with length \(pq\) ⋮ On new measures of pseudorandomness of binary lattices ⋮ Extension of the notion of collision and avalanche effect to sequences of \(k\) symbols ⋮ Elliptic curve analogue of Legendre sequences ⋮ Finite binary sequences constructed by explicit inversive methods ⋮ On pseudorandomness in families of sequences derived from the Legendre symbol ⋮ On pseudo-random subsets of the set of the integers not exceeding \(N\) ⋮ Perturbed Identity Matrices Have High Rank: Proof and Applications ⋮ On the correlation of binary sequences ⋮ On finite pseudorandom binary lattices ⋮ On pseudorandomness of families of binary sequences ⋮ On the correlation of binary sequences ⋮ On the pseudorandomness of binary and quaternary sequences linked by the Gray mapping ⋮ On the pseudorandomness of the signs of Kloosterman sums ⋮ Entropy conditions for subsequences of random variables with applications to empirical processes ⋮ Measures of pseudorandomness of finite binary lattices. II: The symmetry measures ⋮ A family of elliptic curve pseudorandom binary sequences ⋮ A technique to study the correlation measures of binary sequences ⋮ On finite pseudorandom lattices of \(k\) symbols ⋮ On a problem of D. H. Lehmer ⋮ On a problem of D.H. Lehmer and pseudorandom binary sequences ⋮ A large family of pseudorandom binary lattices ⋮ On pseudorandom sequences of \(k\) symbols constructed using finite fields ⋮ Aperiodicity Measure for Infinite Sequences ⋮ Measures of pseudorandomness for binary sequences constructed using finite fields ⋮ The correlation measures of finite sequences: limiting distributions and minimum values ⋮ On the correlation of binary sequences. II ⋮ Modified constructions of binary sequences using multiplicative inverse ⋮ Construction of pseudorandom binary sequences using additive characters over \(GF(2^k)\) ⋮ Concatenation of pseudorandom binary sequences ⋮ New pseudorandom sequences constructed by quadratic residues and Lehmer numbers ⋮ Large families of pseudorandom sequences of k symbols and their complexity, Part II ⋮ Large families of pseudorandom sequences of k symbols and their complexity, Part I
This page was built for publication: On finite pseudorandom binary sequences VII: The measures of pseudorandomness