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- W168705414 abstract "We present a method for construction of Hermitian self-dual codes over F22m+uF22m from Hermitian self-dual codes over F22m via a Gray map we define, where m is a positive integer. For constructing self-dual codes over F2+uF2 with an automorphism of odd order using the decomposition theory, it is necessary to find Hermitian self-dual codes over F22m+uF22m for some appropriate positive integer m. Using the Gray map, we show how to check the equivalence of codes over F22m+uF22m from the information on the equivalence of codes over F22m. We thus classify all Hermitian self-dual codes over F22+uF22 of lengths up to 8. Using these codes, we complete the classification of the Lee-extremal self-dual codes over F2+uF2 of lengths 21 and 22 with a nontrivial automorphism of odd order; these were open cases in the authorsʼ previous work [10]." @default.
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- W168705414 date "2014-01-01" @default.
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- W168705414 title "Hermitian self-dual codes over <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msub><mml:mrow><mml:mi mathvariant=double-struck>F</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mi>m</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mi>u</mml:mi><mml:msub><mml:mrow><mml:mi mathvariant=double-struck>F</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mn…" @default.
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- W168705414 doi "https://doi.org/10.1016/j.ffa.2013.08.004" @default.
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