5. (a) Suppose a Hamming code over GF(2) has codewords length n = 7 and dimen-sion k. What is k?(b) On the other hand, suppose a Hamming code over GF(2) has a parity checkmatrix of size l × 15. What is l?

5. (a) Suppose a Hamming code over GF(2) has codewords length n = 7 and dimen-sion k. What is k?(b) On the other hand, suppose a Hamming code over GF(2) has a parity checkmatrix of size l × 15. What is l?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

5. (a) Suppose a Hamming code over GF(2) has codewords length n = 7 and dimen-
sion k. What is k?
(b) On the other hand, suppose a Hamming code over GF(2) has a parity check
matrix of size l × 15. What is l?

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