Cross-correlations of quadratic form sequences in odd characteristic

DOI10.1023/A:1008250313089zbMath0876.94016MaRDI QIDQ1358669

Andrew Klapper

Publication date: 29 October 1997

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

zbMATH Keywords

finite fieldsbinary sequencesquadratic formsCDMACross-correlationsspread-spectrum communications

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Quadratic forms over general fields (11E04) Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Cryptography (94A60)

Related Items (14)

Further results on rational points of the curve \(y^{q^n}-y=\gamma x^{q^h+1}-\alpha \) over \(\mathbb F_{q^m}\) ⋮ Linear codes with two or three weights from quadratic bent functions ⋮ Invariants of trace forms in odd characteristic and authentication codes ⋮ Evaluation of Weil sums for some polynomials and associated quadratic forms ⋮ Ternary perfect sequences with three-valued cross-correlation ⋮ A class of three-weight cyclic codes ⋮ Power trace functions over finite fields ⋮ Several classes of linear codes and their weight distributions ⋮ Weight distribution of cyclic codes defined by quadratic forms and related curves ⋮ A construction of codes with linearity from two linear codes ⋮ Complete weight enumerators of some linear codes from quadratic forms ⋮ Linear codes from quadratic forms ⋮ Cross-correlations between quadratic form sequences and geometric sequences over finite fields ⋮ Three-weight ternary linear codes from a family of cyclic difference sets

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