Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/95846
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dc.contributor.authorJin, Lingfeien
dc.contributor.authorXing, Chaopingen
dc.date.accessioned2013-07-15T06:54:40Zen
dc.date.accessioned2019-12-06T19:22:17Z-
dc.date.available2013-07-15T06:54:40Zen
dc.date.available2019-12-06T19:22:17Z-
dc.date.copyright2011en
dc.date.issued2011en
dc.identifier.citationJin, L., & Xing, C. (2012). Euclidean and Hermitian Self-Orthogonal Algebraic Geometry Codes and Their Application to Quantum Codes. IEEE Transactions on Information Theory, 58(8), 5484-5489.en
dc.identifier.urihttps://hdl.handle.net/10356/95846-
dc.description.abstractIn the present paper, we show that if the dimension of an arbitrary algebraic geometry code over a finite field of even characteristic is slightly less than n/2-g with n being the length of the code and g being the genus of the base curve, then it is equivalent to an Euclidean self-orthogonal code. Previously, such results required a strong condition on the existence of a certain differential. We also show a similar result on Hermitian self-orthogonal algebraic geometry codes. As a consequence, we can apply our result to quantum codes and obtain some good quantum codes. In particular, we obtain a q-ary quantum [[q+1,1]]-MDS code for an even power q which is essential for quantum secret sharing.en
dc.language.isoenen
dc.relation.ispartofseriesIEEE transactions on information theoryen
dc.rights© 2011 IEEE.en
dc.titleEuclidean and Hermitian self-orthogonal algebraic geometry codes and their application to quantum codesen
dc.typeJournal Articleen
dc.contributor.schoolSchool of Physical and Mathematical Sciencesen
dc.identifier.doi10.1109/TIT.2011.2177066en
item.fulltextNo Fulltext-
item.grantfulltextnone-
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