The (5m, m) five-times repetition code has encoding function E: Zm2 Z5m2, where E(w) = wwwww.
Question:
(a) With p = 0.05, what is the probability for the transmission and correct decoding of the signal 0?
(b) Answer part (a) for the message 110 in place of the signal 0.
(c) For m = 2, decode the received word
r = 0111001001.
(d) If m = 2, find three received words r where D(r) = 00.
(e) For m = 2 and D: Z102 → Z22, what is | D-1(w) | for each w ∈ Z22?
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Related Book For
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
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