Slim normal bases and basefield transforms
نویسندگان
چکیده
منابع مشابه
Basefield transforms derived from character tables
We show that it is possible to de ne Hartley-like transforms for (generalized) character tables of nite groups. This large class of transforms include Hartley transforms for discrete Fourier transforms over abelian groups and Hartley-like transforms for the discrete cosine transform of type I.
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We prove that any Galois extension of commutative rings with normal basis and abelian Galois group of odd order has a self dual normal basis. Also we show that if S/R is an unramified extension of number rings with Galois group of odd order and R is totally real then the normal basis does not exist for S/R.
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ژورنال
عنوان ژورنال: Applicable Algebra in Engineering, Communication and Computing
سال: 2007
ISSN: 0938-1279,1432-0622
DOI: 10.1007/s00200-007-0045-x