Let m(x) be a generator of the principal ideal I of F[X]. Show that for each a
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Let m(x) be a generator of the principal ideal I of F[X]. Show that for each a E F\ {O}, am( x) is also a generator of I. Show further that if
m(x) is a generator of minimal degree, then there are no generators of this degree except the constant non-zero multiples of m(x).
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Related Book For
Error Correcting Codes A Mathematical Introduction
ISBN: 978-0412786907
1st Edition
Authors: D J. Baylis
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