SIMPLE ESTIMATION FOR THE DIMENSION OF SUBFIELD SUBCODES OF AG CODES

Authors
SHIBUYA T MATSUMOTO R SAKANIWA K
Citation
T. Shibuya et al., SIMPLE ESTIMATION FOR THE DIMENSION OF SUBFIELD SUBCODES OF AG CODES, IEICE transactions on fundamentals of electronics, communications and computer science, E80A(11), 1997, pp. 2058-2065
Citations number
11
Journal title
IEICE transactions on fundamentals of electronics, communications and computer science → ACNP
ISSN journal
09168508
Volume
E80A
Issue
11
Year of publication
1997
Pages
2058 - 2065
Database
ISI
SICI code
0916-8508(1997)E80A:11<2058:SEFTDO>2.0.ZU;2-G
Abstract
In this paper, we present a lower bound for the dimension of subfield subcodes of residue Goppa codes on the curve Cab. which exceeds the lo wer bound given by Stichtenoth when the number of check symbols is not small. We also give an illustrative example which shows that the prop osed bound for the dimension of certain residue Goppa code exceeds the true dimension of a BCH code with the same code length and designed d istance.