Cross-correlations of linearly and quadratically related geometric sequences and GMW sequences

DOI10.1016/0166-218X(93)90155-HzbMath0791.05015OpenAlexW2131236619MaRDI QIDQ689947

Andrew Klapper, Agnes Hui Chan, Mark Goresky

Publication date: 11 January 1994

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-218x(93)90155-h

zbMATH Keywords

hyperplaneshypersurfacescross-correlationgeometric sequencesGMW sequences

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Communication, information (94A99) Finite fields (field-theoretic aspects) (12E20)

Related Items (5)

Enhanced criteria on differential uniformity and nonlinearity of cryptographically significant functions ⋮ Correlation functions of a family of generalized geometric sequences ⋮ Resilience to distinguishing attacks on WG-7 cipher and their generalizations ⋮ Cross-correlations of geometric sequences in characteristic two ⋮ The vulnerability of geometric sequences based on fields of odd characteristic

Cites Work

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• Analysis and design of stream ciphers
• Crosscorrelation of M-sequences and GMW-sequences with the same primitive polynomial
• On ``bent functions
• Some results about the cross-correlation function between two maximal linear sequences
• Prime-phase sequences with periodic correlation properties better than binary sequences
• On the linear span of binary sequences obtained from q-ary m-sequences, q odd
• The Geometry of m-Sequences: Three-Valued Crosscorrelations and Quadrics in Finite Projective Geometry
• Some New Difference Sets
• Lower bounds on the maximum cross correlation of signals (Corresp.)

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