Let H= $\begin{bmatrix} 1&0&0 \\ 1&1&0 \\ 0&1&1 \\ 1&0&0 \\ 0&1&0 \\ 0&0&1 \end{bmatrix}$ be parity check matrix.Determine the group code $e

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Let H=

$\begin{bmatrix} 1&0&0 \\ 1&1&0 \\ 0&1&1 \\ 1&0&0 \\ 0&1&0 \\ 0&0&1 \end{bmatrix}$ be parity check matrix.Determine the group code

$e_H: B^2->B^5$

written 8.2 years ago by

teamques10 ★ 69k

modified 3.2 years ago by

pedsangini276 • 4.8k

Mumbai University > Computer Engineering > Sem 3 > Discrete Structures

Marks: 8 Marks

Year: Dec 2015

discrete mathematics

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written 8.2 years ago by

teamques10 ★ 69k

we have

$N=\begin{bmatrix} 1&0&0 \\ 1&1&0 \end{bmatrix}$

And

$B^2= \{00, 01, 10, 11\}.$

Then,

$$00 * \begin{bmatrix} 1&0&0 \\ 1&1&0 \end{bmatrix} =000, \ \ \ \ \ \ \ \ \ \ 01 * \begin{bmatrix} 1&0&0 \\ 1&1&0 \end{bmatrix} =110 \\ 10 * \begin{bmatrix} 1&0&0 \\ 1&1&0 \end{bmatrix} =100, \ …

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