DocumentCode
2026028
Title
The poset metrics that allow binary codes of codimension m to be m-, (m - 1)-, or (m - 2)-perfect
Author
Hyun Kwang Kim ; Krotov, D.S.
Author_Institution
Dept. of Math., Pohang Univ. of Sci. & Technol., Pohang
fYear
2007
fDate
24-29 June 2007
Firstpage
1371
Lastpage
1375
Abstract
A binary poset code of codimension m (of cardinality 2n-m, where n is the code length) can correct maximum m errors. All possible poset metrics that allow codes of codimension m to be m-, (m-1)- or (m - 2)-perfect are described. Some general conditions on a poset which guarantee the nonexistence of perfect poset codes are derived.
Keywords
binary codes; binary poset code; code length; perfect poset code; poset metrics; Binary codes; Error correction codes; Extraterrestrial measurements; Filters; Iron; Mathematics; perfect codes; poset codes;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory, 2007. ISIT 2007. IEEE International Symposium on
Conference_Location
Nice
Print_ISBN
978-1-4244-1397-3
Type
conf
DOI
10.1109/ISIT.2007.4557414
Filename
4557414
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