Polyphase power-residue sequences

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 459, Issue 2032, 2003, Pages 817-827

  Green, D H ^a   Green, P R ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

Index sequences; Legendre sequences; Merit factors; Periodic autocorrelation; Polyphase sequences; Power residues

Indexed keywords

ANALYTIC METHOD; ARTICLE; CORRELATION ANALYSIS; ELECTRONICS; ENGINEERING; FREQUENCY ANALYSIS; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; PHASE TRANSITION;

EID: 1542512305     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2002.1065     Document Type: Article

References (16)

1. Ding, C. & Helleseth, T. 1998 On cyclotomic sequences of order r. Inform. Process. Lett. 66, 21-25.
2. Ding, C., Helleseth, T. & Shan, W. 1998 On the linear complexity of Legendre sequences. IEEE Trans. Inform. Theory 44, 1276-1282.
3. Everett, D. 1966 Periodic digital sequences with pseudorandom properties. GEC J. 33, 115-126.
4. Fan, P. & Darnell, M. 1996 Sequence design for communications applications. Wiley.
5. Golay, M. J. E. 1977 Sieves for low autocorrelation binary sequences. IEEE Trans. Inform. Theory 23, 43-51.
6. Golomb, S. W. & Taylor, H. 1984 Constructions and properties of costas arrays. Proc. IEEE 72, 1143-1163.
7. Green, D. H. & Green, P. R. 2001 Polyphase related-prime sequences. IEE Proc. Comput. Digit. Tech. 148, 53-62.
8. Green, D. H., Smith, M. D. & Martzoukos, N. 2002 The linear complexity of polyphase power residue sequences. IEE Proc. Commun. 149, 195-201.
9. Jensen, J. M., Jensen, H. E. & Høholdt, T. 1991 The merit factor of binary sequences related to difference sets. IEEE Trans. Inform. Theory 37, 617-626.
10. Kim, J.-H. &Song, H.-Y. 2001 Trace representation of Legendre sequences. Des. Codes Cryptogr. 24, 343-348.
11. Kranakis, E. 1986 Primality and cryptography. Wiley.
12. Moreno, O., Golomb, S. W. & Corrada, C. J. 1997 Extended sonar sequences. IEEE Trans. Inform. Theory 43, 1999-2005.
13. Niven, I., Zuckerman, H. S. & Montgomery, H. L. 1991 An introduction to the theory of numbers. Wiley.
14. No, J.-S., Lee, H.-K., Chung, H., Song, H.-Y. & Yang, K. 1996 Trace representation of Legendre sequences of Mersenne prime period. IEEE Trans. Inform. Theory 42, 2254-2255.
15. Schroeder, M. R. 1997 Number theory in science and communication. Springer Series in Information Science, 3rd edn. Springer.
16. Sidelnikov, V. M. 1969 Pseudo-random sequences and nearly equidistant codes. Probl. Peredachi Inform. 5, 16-22.