# On the Classification of Hermitian Self-Dual Additive Codes Over ${\rm GF}(9)$

@article{Danielsen2012OnTC,
title={On the Classification of Hermitian Self-Dual Additive Codes Over \$\{\rm GF\}(9)\$},
author={L. Danielsen},
journal={IEEE Transactions on Information Theory},
year={2012},
volume={58},
pages={5500-5511}
}
• L. Danielsen
• Published 2012
• Mathematics, Computer Science, Physics
• IEEE Transactions on Information Theory
Additive codes over GF(9) that are self-dual with respect to the Hermitian trace inner product have a natural application in quantum information theory, where they correspond to ternary quantum error-correcting codes. However, these codes have so far received far less interest from coding theorists than self-dual additive codes over GF(4), which correspond to binary quantum codes. Self-dual additive codes over GF(9) have been classified up to length 8, and in this paper we extend the complete… Expand
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