### Abstract

Binary e-th residue sequences of period p and their defining pairs are defined, and the problem of determining their trace representations is reduced to that of determining their defining pairs. In addition, the latter is further reduced to that of evaluating the values of some e-tuples which are associated with e-th residue classes, and some properties of those e-tuples are discussed. As such, trace representations and linear complexities of the binary characteristic sequences of all the e-th residue cyclic difference sets modulo p with e≤12 and some other e-th residue sequences are determined.

Original language | English |
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Number of pages | 1 |

Journal | IEEE International Symposium on Information Theory - Proceedings |

Publication status | Published - 2003 Oct 20 |

Event | Proceedings 2003 IEEE International Symposium on Information Theory (ISIT) - Yokohama, Japan Duration: 2003 Jun 29 → 2003 Jul 4 |

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### All Science Journal Classification (ASJC) codes

- Theoretical Computer Science
- Information Systems
- Modelling and Simulation
- Applied Mathematics