DocumentCode
1537818
Title
Codes over rings from curves of higher genus
Author
Veloch, J.F. ; Walker, Judy L.
Author_Institution
Dept. of Math., Texas Univ., Austin, TX, USA
Volume
45
Issue
6
fYear
1999
fDate
9/1/1999 12:00:00 AM
Firstpage
1768
Lastpage
1776
Abstract
We construct certain error-correcting codes over finite rings and estimate their parameters. These codes are constructed using plane curves and the estimates for their parameters rely on constructing “lifts” of these curves and then estimating the size of certain exponential sums
Keywords
algebraic geometric codes; error correction codes; linear codes; parameter estimation; Witt vectors; algebraic geometric codes; codes over rings; curve lifts; error-correcting codes; exponential sums; finite rings; higher genus curves; linear codes; lower bound; parameter estimation; plane curves; size estimation; Binary codes; Elliptic curves; Error correction codes; Galois fields; Geometry; Helium; Linear code; Mathematics; Parameter estimation; Veins;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.782098
Filename
782098
Link To Document