Answered: Consider a linear (n, k, d) code C over…

Consider a linear (n, k, d) code C over GF (2). Codeword (a1, a2, · · · , an) ∈ C if andonly if the number of 1’s in a is even.(a) Find a generator matrix.(b) Find a parity check matrix

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

Consider a linear (n, k, d) code C over GF (2). Codeword (a1, a2, · · · , an) ∈ C if and
only if the number of 1’s in a is even.
(a) Find a generator matrix.
(b) Find a parity check matrix

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