THREE-WEIGHT CODES AND ASSOCIATION SCHEMES.
Publication
, Journal Article
Calderbank, AR; Goethals, JM
Published in: Philips Journal of Research
December 1, 1984
Three-weight projective codes C are considered for which the restriction to C of the Hamming association scheme H//n(q) is an association scheme with three classes. Sufficient conditions are established and restrictions on the three weights of C are obtained. It is shown in the binary case that the three-weight subcodes of the shortened second-order Reed-Muller codes provide a large class of examples, Previously known examples were the duals of perfect 3-error-correcting or uniformly packed 2-error-correcting codes.
Duke Scholars
Published In
Philips Journal of Research
ISSN
0165-5817
Publication Date
December 1, 1984
Volume
39
Issue
4-5
Start / End Page
143 / 152
Related Subject Headings
- Applied Physics
Citation
APA
Chicago
ICMJE
MLA
NLM
Calderbank, A. R., & Goethals, J. M. (1984). THREE-WEIGHT CODES AND ASSOCIATION SCHEMES. Philips Journal of Research, 39(4–5), 143–152.
Calderbank, A. R., and J. M. Goethals. “THREE-WEIGHT CODES AND ASSOCIATION SCHEMES.” Philips Journal of Research 39, no. 4–5 (December 1, 1984): 143–52.
Calderbank AR, Goethals JM. THREE-WEIGHT CODES AND ASSOCIATION SCHEMES. Philips Journal of Research. 1984 Dec 1;39(4–5):143–52.
Calderbank, A. R., and J. M. Goethals. “THREE-WEIGHT CODES AND ASSOCIATION SCHEMES.” Philips Journal of Research, vol. 39, no. 4–5, Dec. 1984, pp. 143–52.
Calderbank AR, Goethals JM. THREE-WEIGHT CODES AND ASSOCIATION SCHEMES. Philips Journal of Research. 1984 Dec 1;39(4–5):143–152.
Published In
Philips Journal of Research
ISSN
0165-5817
Publication Date
December 1, 1984
Volume
39
Issue
4-5
Start / End Page
143 / 152
Related Subject Headings
- Applied Physics