Exhaustive determination of (1023, 511, 255)-cyclic difference sets

Mathematics of Computation

Volumn 70, Issue 233, 2001, Pages 357-366

  Gaal, Peter ^a   Golomb, Solomon W ^a  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

Author keywords

Cyclic difference sets; Cyclic hadamard matrices; Ideal autocorrelation sequences

Indexed keywords

EID: 0035606190     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0025-5718-00-01196-0     Document Type: Article

References (8)

1. L. D. Baumert, Cyclic Difference Sets, Lecture Notes in Math., vol. 182, Springer-Verlag, New York, 1971. MR 44:97
2. S. W. Golomb and H.-Y. Song, On the Existence of Cyclic Hadamard Difference Sets, IEEE Trans. Info. Theory, vol. 40, no. 4, July 1994, pp. 1266-1268.
3. n - 1 with Ideal Autocorrelation, IEEE Trans. Info. Theory, vol. 44, no. 2, March 1998, pp. 814-817. CMP 98:08
4. L. D. Baumert and H. Fredricksen, The Cyclotomic Numbers of Order Eighteen with Applications to Difference Sets, Math. Comp. 21, 1967, pp. 204-219. MR 36:6370
5. U. Cheng, Exhaustive Construction of (255, 127, 63)-Cyclic Difference Sets, J. Combin. Theory, Ser. A 35, no. 2, 1983, pp. 115-125. MR 85b:05038
6. R. B. Dreier and K. W. Smith, Exhaustive Determination of (511, 255, 127)-Cyclic Difference Sets, Unpublished, 1991.
7. H.-Y. Song, Personal Communication, April 1997 and August 1998.
8. M. Hall, Jr., A Survey of Difference Sets, Proc. Am. Math. Soc. 7 (1956), 975-986. MR 18:560h