Given n Z+, let the set M(n, k) Zn2 contain the maximum number of code words of

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Given n ˆˆ Z+, let the set M(n, k) Š† Zn2 contain the maximum number of code words of length n, where the minimum distance between code words is 2k + 1. Prove that

(The upper bound on |M(n, k)| is called the Hamming bound; the lower bound is referred to as the Gilbert bound.)

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Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

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Question Posted: Jun 21, 2016 09:09 AM

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Given n Z+, let the set M(n, k) Zn2 contain the maximum number of code words of

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2" 21 k In

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Let c Z n 2 be a code word For all x Sc k the decoding function of Theorem 1613 decodes x a...View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

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