Cross-correlations of geometric sequences in characteristic two

DOI10.1007/BF01418531zbMath0780.94006OpenAlexW2059094192MaRDI QIDQ1309829

Andrew Klapper

Publication date: 1993

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01418531

zbMATH Keywords

cross-correlation functions\(m\)-sequencesgeometric sequencescryptographic securityspread- spectrum communication systems

Mathematics Subject Classification ID

Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Cryptography (94A60)

Related Items (15)

Some enumeration results on trace forms of low radical over finite fields of characteristic two ⋮ Crooked maps in \(\mathbb F_{2^n}\) ⋮ Linear codes with two or three weights from quadratic bent functions ⋮ Ternary perfect sequences with three-valued cross-correlation ⋮ NONBINARY DELSARTE–GOETHALS CODES AND FINITE SEMIFIELDS ⋮ Weight distribution of cyclic codes defined by quadratic forms and related curves ⋮ Complete weight enumerators of some linear codes from quadratic forms ⋮ Highly degenerate quadratic forms over \(\mathbb F_{2}\) ⋮ Linear codes from quadratic forms ⋮ Highly degenerate quadratic forms over finite fields of characteristic 2 ⋮ Cross-correlations between quadratic form sequences and geometric sequences over finite fields ⋮ Trace forms over finite fields of characteristic 2 with prescribed invariants ⋮ Invariants of trace forms over finite fields of characteristic 2 ⋮ Walsh transforms of trace forms with three or more terms and some maximal Artin-Schreier curves ⋮ On the Number of Quadratic Forms Having Codimension 2 Radicals in Characteristic 2 Giving Maximal/Minimal Curves

Cites Work

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• Cross-correlations of linearly and quadratically related geometric sequences and GMW sequences
• On ``bent functions
• Products of linear recurring sequences
• Shift Register Sequences – A Retrospective Account
• A new family of binary pseudorandom sequences having optimal periodic correlation properties and larger linear span
• Some New Difference Sets
• Cascaded GMW sequences
• Shift-register synthesis and BCH decoding

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