dc.contributor.authorLing, San
dc.contributor.authorSole, Patrick
dc.identifier.citationLing, S., & Solé, P. (2001). Type II Codes Over F4+uF4. European Journal of Combinatorics, 22(7), 983-997.en_US
dc.description.abstractSelf-dual codes over F4 for the Euclidean scalar product [2, 6] and over F2 + uF2 [1, 5] received some attention lately. In the present article, we study codes over an alphabet R of size 16 that contains both alphabets as subrings. As a consequence, we obtain via suitable Gray maps self-dual codes over these two subrings which, in turn, give self-dual binary codes by the Gray maps of [6] and [5]. In particular, we introduce a subclass (Type II codes) of these self-dual codes over R which yield, after double Gray mapping, doubly even binary codes.Following a trend illustrated in [1] we also give constructions of lattices; specifically Z-lattices, Gaussian lattices and lattices over the golden integers via Construction A. A connection with Tits quaternionic construction of the Leech lattice [4, 8] is pointed out.en_US
dc.relation.ispartofseriesEuropean journal of combinatoricsen_US
dc.rights© 2001 Academic Press. This is the author created version of a work that has been peer reviewed and accepted for publication by European Journal of Combinatorics, Academic Press. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1006/eujc.2001.0509].en_US
dc.titleType II codes over F4+uF4en_US
dc.typeJournal Article
dc.contributor.schoolSchool of Physical and Mathematical Sciencesen_US
dc.description.versionAccepted versionen_US

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