# Self-Orthogonality of $q$ -Ary Images of $q^{m}$ -Ary Codes and Quantum Code Construction

@article{Sundeep2007SelfOrthogonalityO, title={Self-Orthogonality of \$q\$ -Ary Images of \$q^\{m\}\$ -Ary Codes and Quantum Code Construction}, author={B Sundeep and Andrew Thangaraj}, journal={IEEE Transactions on Information Theory}, year={2007}, volume={53}, pages={2480-2489} }

A code over GF can be imaged or expanded into a code over GF using a basis for the extension field over the base field. The properties of such an image depend on the original code and the basis chosen for imaging. Problems relating the properties of a code and its image with respect to a basis have been of great interest in the field of coding theory. In this work, a generalized version of the problem of self-orthogonality of the q-ary image of a qm-ary code has been considered. Given an inner…

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## 7 Citations

Self-orthogonality of Images and Traces of Codes with Applications to Quantum Codes

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A generalized version of the problem of self-orthogonality of the q-ary image of a qm-ary code has been considered and new quantum error-correcting codes have been constructed with larger minimum distance than previously known.

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There are mainly two efficient constructing methods for quantum codes, the construction named after Calderbank, Shor and Stean, and the hermitian code construction. We compare two methods in quantum…

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