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Error-Correcting Codes in Projective Spaces Via Rank-Metric Codes and Ferrers Diagrams

โœ Scribed by Etzion, T.; Silberstein, N.

Book ID
114641709
Publisher
IEEE
Year
2009
Tongue
English
Weight
241 KB
Volume
55
Category
Article
ISSN
0018-9448

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Using maximal arcs in PG(3, 2 m ), we give a new proof of the fact that the binary cyclic code C (m) 1, 2 2h &2 h +1 , the code of length 2 m &1 with defining zeroes : and : t , t=2 2h &2 h +1, where : is a primitive element in GF(2 m ), is 2-error-correcting when gcd(m, h)=1.