1. Let C be an [n, k] code over F2 that can correct two errors. Use the sphere packing bound to prove that the number of redundancy entries, n-k, is more than 2 log2 n - 1.
1. Let C be an [n, k] code over F2 that can correct two errors. Use the sphere packing bound to prove that the number of redundancy entries, n-k, is more than 2 log2 n - 1.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 74EQ
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