Title :
Proper self-complementary codes
Author :
Kløve, Torleiv ; Yari, Somaye
Author_Institution :
Dept. of Inf., Univ. of Bergen, Bergen, Norway
Abstract :
It is an open question if there exists proper binary linear codes for error detection for all lengths and dimensions. It is known that such codes exist for any given dimension when the length is above some explicit bound. The main result in this paper is new explicit bound that is much lower than the previously known bound. The construction is based on self-complementary codes. As an illustration, proper self-complementary codes are constructed for dimensions 5 and 6 and all lengths.
Keywords :
binary codes; error detection; linear codes; binary linear codes; error detection; self-complementary codes; Books; Computer aided software engineering; Distribution functions; Generators; Informatics; Linear code; Vectors; error detection; proper codes; self-complementary codes;
Conference_Titel :
Information Theory and its Applications (ISITA), 2010 International Symposium on
Conference_Location :
Taichung
Print_ISBN :
978-1-4244-6016-8
Electronic_ISBN :
978-1-4244-6017-5
DOI :
10.1109/ISITA.2010.5649432
