Title :
On the covering radius of ternary negacyclic codes with length up to 26
Author :
Baicheva, Tsonka S.
Author_Institution :
Inst. of Math. & Inf., Bulgarian Acad. of Sci., Veliko Tarnovo, Bulgaria
fDate :
1/1/2001 12:00:00 AM
Abstract :
The covering radius of all ternary negacyclic codes of even length up to 26 is given. The minimum distances and weight distributions of all codes were recalculated. Seven of the open cases for the least covering radius of ternary linear codes were solved and for the other three cases upper bounds were improved
Keywords :
cyclic codes; linear codes; ternary codes; covering radius; even length codes; minimum distances; ternary linear codes; ternary negacyclic codes; upper bounds; weight distributions; Boolean functions; Computer science; Cryptography; Error correction codes; Linear code; Linear programming; Notice of Violation;
Journal_Title :
Information Theory, IEEE Transactions on