Question 1. The [n, n-1]-binary parity check code is the set of [a₁, a2,・・・, an] (with entries in GF(2)) so that the number of 1's is even. In the following, you don't have to find an answer in standard form. (a) Find a generator matrix. (Hint: an = a₁ + a2 + an-1. Why?) (b) and a parity check matrix (Hint: You may also use an = a₁ + a₂+···an-1.)
Question 1. The [n, n-1]-binary parity check code is the set of [a₁, a2,・・・, an] (with entries in GF(2)) so that the number of 1's is even. In the following, you don't have to find an answer in standard form. (a) Find a generator matrix. (Hint: an = a₁ + a2 + an-1. Why?) (b) and a parity check matrix (Hint: You may also use an = a₁ + a₂+···an-1.)
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 1. The [n, n-1]-binary parity check code is the set of [a1, a2,..., an]
(with entries in GF(2)) so that the number of 1's is even. In the following,
you don't have to find an answer in standard form.
(a) Find a generator matrix. (Hint: an = a₁ + a2 + an-1. Why?)
(b) and a parity check matrix (Hint: You may also use an = a₁ + a2+・・・ An-1.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2521d3ac-1f2b-4213-a1c7-670c7b844752%2Fc3870a98-05de-4395-9ba3-a7143b06ae57%2Fkhg8fe4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 1. The [n, n-1]-binary parity check code is the set of [a1, a2,..., an]
(with entries in GF(2)) so that the number of 1's is even. In the following,
you don't have to find an answer in standard form.
(a) Find a generator matrix. (Hint: an = a₁ + a2 + an-1. Why?)
(b) and a parity check matrix (Hint: You may also use an = a₁ + a2+・・・ An-1.)
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