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Consider the vector space V 23 and the Golay code subspace C23, 12 Prove that there are

Linear Algebra with Applications | 8th Edition | ISBN: 9781449679545 | Authors: Gareth Williams ISBN: 9781449679545 435

Solution for problem 16 Chapter 6.3

Linear Algebra with Applications | 8th Edition

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Linear Algebra with Applications | 8th Edition | ISBN: 9781449679545 | Authors: Gareth Williams

Linear Algebra with Applications | 8th Edition

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Problem 16

Consider the vector space V 23 and the Golay code subspace C23, 12 Prove that there are (a) 2 23 vectors in V23 (b) 4096 vectors in C2312 c) 2048 vectors in each sphere of radius 3 about a vector in C 2312 , (given that each element of V 23 is in one sphere). How many vectors of distance 1, 2, and 3 are in each sphere of radius 3?

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d 5O ,ilo{f ,u c,D l,.,lc g CrcciL-,cJr) t,1c-Ct C,6r(*,-.,-C- -_\, '2'7^s bS 6r : + 't,t : \ tt- Jil

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Chapter 6.3, Problem 16 is Solved
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Textbook: Linear Algebra with Applications
Edition: 8
Author: Gareth Williams
ISBN: 9781449679545

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Consider the vector space V 23 and the Golay code subspace C23, 12 Prove that there are