Crosscorrelation of \(m\)-sequences, exponential sums, bent functions and Jacobsthal sums

DOI10.1007/s12095-011-0048-0zbMath1235.11110OpenAlexW2139878845MaRDI QIDQ662194

Tor Helleseth, Alexander Kholosha

Publication date: 21 February 2012

Published in: Cryptography and Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12095-011-0048-0

zbMATH Keywords

\(p\)-ary bent function\(m\)-sequencecrosscorrelationJacobsthal sumpolynomial over finite field

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Polynomials over finite fields (11T06) Exponential sums (11T23)

Related Items (9)

A survey on \(p\)-ary and generalized bent functions ⋮ The cross-correlation values of a class of sequences with different lengths ⋮ On the normality of \(p\)-ary bent functions ⋮ Strongly regular graphs arising from non-weakly regular bent functions ⋮ A class of functions with low-valued Walsh spectrum ⋮ The Walsh transform of a class of monomial functions and cyclic codes ⋮ Several classes of Niho type Boolean functions with few Walsh transform values ⋮ Several classes of exponential sums and three-valued Walsh spectrums over finite fields ⋮ Binary and ternary sequences with a few cross correlations

Cites Work

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