DocumentCode
1465005
Title
A geometric construction of an optimal [67,9,30] binary code
Author
Cossidente, Antonio ; Siciliano, Alessandro
Author_Institution
Dipt. di Matematica, Univ. della Basilicata, Potenza, Italy
Volume
47
Issue
3
fYear
2001
fDate
3/1/2001 12:00:00 AM
Firstpage
1187
Lastpage
1189
Abstract
We construct a new optimal binary [67,9,30]-code corresponding to a complete cap of PG(8,2). This cap is obtained by gluing together some Hermitian Veroneseans in a mixed partition of PG(8,2) and one hyperoval. We also construct a ternary [364,9,234]-code corresponding to a complete cap of PG(8,3). This cap turns out to be as large as the largest known cap in PG(8,3) (in an asymptotical sense)
Keywords
binary codes; error correction codes; geometric codes; ternary codes; (364,9,234) ternary code; (67,9,30) binary code; Hermitian Veroneseans; complete cap; geometric construction; hyperoval; mixed partition; optimal binary code; projective geometry; Binary codes; Error correction codes; Galois fields; Hamming distance; Hamming weight; Linear code; Vectors;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.915679
Filename
915679
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