Cross-Correlations of Quadratic Form Sequences in Odd Characteristic

@article{Klapper1997CrossCorrelationsOQ,
  title={Cross-Correlations of Quadratic Form Sequences in Odd Characteristic},
  author={Andrew Klapper},
  journal={Des. Codes Cryptography},
  year={1997},
  volume={11},
  pages={289-305}
}
Cross-correlation functions are determined for a large class of geometric sequences based on m-sequences in odd characteristic. These sequences are shown to have low cross-correlation values in certain cases. They also have significantly higher linear spans than previously studied geometric sequences. These results show that geometric sequences are candidates for use in spread-spectrum communications systems in which cryptographic security is a factor. 

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