Quotients of orders in cyclic algebras and space-time codes
نویسندگان
چکیده
Let F be a number field with ring of integers OF and D a division F -algebra with a maximal cyclic subfield K. We study rings occurring as quotients of a natural OF -order Λ in D by two-sided ideals. We reduce the problem to studying the ideal structure of Λ/qΛ, where q is a prime ideal in OF , s ≥ 1. We study the case where q remains unramified in K, both when s = 1 and s > 1. This work is motivated by its applications to space-time coded modulation.
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عنوان ژورنال:
- Adv. in Math. of Comm.
دوره 7 شماره
صفحات -
تاریخ انتشار 2013