Isometrically Self-dual Cyclic Codes
نویسندگان
چکیده
General isometries of cyclic codes, including multipliers and translations, are introduced; and isometrically self-dual cyclic codes are defined. In terms of Type-I duadic splittings given by multipliers and translations, a necessary and sufficient condition for the existence of isometrically selfdual cyclic codes is obtained. A program to construct isometrically selfdual cyclic codes is provided, and illustrated by several examples. In particular, a class of isometrically self-dual MDS cyclic codes, which are alternant codes from a class of generalized Reed-Solomon codes, is presented.
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عنوان ژورنال:
- CoRR
دوره abs/1610.00845 شماره
صفحات -
تاریخ انتشار 2016