Define a family of matrices inductively as follows: G0 [1] and, for n 1,Gn cGn1 0Gn1
Chapter 6, Problem 6.7.36(choose chapter or problem)
Define a family of matrices inductively as follows: G0 [1] and, for n 1,Gn cGn1 0Gn1 1dwhere 0 is a zero vector and 1 is a vector consistingentirely of ones.(a) Write out G1, G2, and G3.(b) Using induction, prove that for all n 0, Gn is agenerator matrix for the Reed-Muller code Rn.
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