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Unformatted text preview: in the ﬁeld. Find a primitive element of the ﬁeld, and write the representation of each ﬁeld element using the primitive element. Also, ﬁnd all the cyclotomic cosets of the ﬁeld, as well as all minimal polynomials of the ﬁeld element. • 3) Roth text, problem 3.21. 1 • 4) Roth text, problem 3.22. • 5) Find the number of information bits in a binary, narrow-sense BCH code of length 63 for each odd t satisfying 1 ≤ t ≤ 31. Find the a formula for the exact number of information symbols in a three error-correctig, primitive, narrow-sense BCH code for all m ≥ 4, where n = 2 m-1. 2...
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This note was uploaded on 02/08/2012 for the course ECE 556 taught by Professor Milenkovic,o during the Fall '08 term at University of Illinois, Urbana Champaign.
- Fall '08