Title :
There is No Self-Dual
-Linear Code Whose Gray Image Has the Parameters
Author :
Kiermaier, Michael
Author_Institution :
Dept. of Math., Univ. of Bayreuth, Bayreuth, Germany
Abstract :
It is shown that there is no self-dual BBZ4-linear code whose Gray image has the parameters (72,236,16).
Keywords :
Hamming codes; binary codes; dual codes; error correction codes; linear codes; BBZ4-linear code; Gray map; error-correcting code; gray image; minimum Hamming distance; self-dual linear code; Binary codes; Educational institutions; Hamming weight; Linear code; Vectors; $ BBZ _{4}$-linear code; Error-correcting code; Gray map; extremal code; self-dual code;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2013.2246816