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How to check whether a matrix is a parity check matrix for a Hamming Code Ham(2,5) or not:
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How to check whether a matrix is a parity check matrix for a Hamming Code Ham(2,5) or not:
The matrix is
begin{bmatrix} 4&1&4&2&0&4\2&1&1&4&2&0end{bmatrix}
Is there any criterion to check it?
Please help.I dont understand how is it done.Plesae give some help.
abstract-algebra matrices group-theory coding-theory
asked Jan 7 at 4:11
Join_PhDJoin_PhD
3668
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$begingroup$
How to check whether a matrix is a parity check matrix for a Hamming Code Ham(2,5) or not:
The matrix is
begin{bmatrix} 4&1&4&2&0&4\2&1&1&4&2&0end{bmatrix}
Is there any criterion to check it?
Please help.I dont understand how is it done.Plesae give some help.
abstract-algebra matrices group-theory coding-theory
asked Jan 7 at 4:11
Join_PhDJoin_PhD
3668
$endgroup$
add a comment |
$begingroup$
How to check whether a matrix is a parity check matrix for a Hamming Code Ham(2,5) or not:
The matrix is
begin{bmatrix} 4&1&4&2&0&4\2&1&1&4&2&0end{bmatrix}
Is there any criterion to check it?
Please help.I dont understand how is it done.Plesae give some help.
abstract-algebra matrices group-theory coding-theory
asked Jan 7 at 4:11
Join_PhDJoin_PhD
3668
$endgroup$
How to check whether a matrix is a parity check matrix for a Hamming Code Ham(2,5) or not:
The matrix is
begin{bmatrix} 4&1&4&2&0&4\2&1&1&4&2&0end{bmatrix}
Is there any criterion to check it?
Please help.I dont understand how is it done.Plesae give some help.
abstract-algebra matrices group-theory coding-theory
abstract-algebra matrices group-theory coding-theory
asked Jan 7 at 4:11
Join_PhDJoin_PhD
3668
asked Jan 7 at 4:11
Join_PhDJoin_PhD
3668
asked Jan 7 at 4:11
Join_PhDJoin_PhD
3668
asked Jan 7 at 4:11
Join_PhDJoin_PhD
3668
asked Jan 7 at 4:11
Join_PhDJoin_PhD
3668
3668
add a comment |
add a comment |
1 Answer
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In this example, you need to check that each pair of columns is linearly
independent as vectors over $Bbb F_5$. For example, columns $1$ and $2$ are,
since their determinant is $4times1-1times2equiv2pmod 5$. Over to you!
answered Jan 7 at 4:23
Lord Shark the UnknownLord Shark the Unknown
103k1160132
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1 Answer
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1 Answer
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$begingroup$
In this example, you need to check that each pair of columns is linearly
independent as vectors over $Bbb F_5$. For example, columns $1$ and $2$ are,
since their determinant is $4times1-1times2equiv2pmod 5$. Over to you!
answered Jan 7 at 4:23
Lord Shark the UnknownLord Shark the Unknown
103k1160132
$endgroup$
add a comment |
$begingroup$
In this example, you need to check that each pair of columns is linearly
independent as vectors over $Bbb F_5$. For example, columns $1$ and $2$ are,
since their determinant is $4times1-1times2equiv2pmod 5$. Over to you!
answered Jan 7 at 4:23
Lord Shark the UnknownLord Shark the Unknown
103k1160132
$endgroup$
add a comment |
$begingroup$
In this example, you need to check that each pair of columns is linearly
independent as vectors over $Bbb F_5$. For example, columns $1$ and $2$ are,
since their determinant is $4times1-1times2equiv2pmod 5$. Over to you!
answered Jan 7 at 4:23
Lord Shark the UnknownLord Shark the Unknown
103k1160132
$endgroup$
In this example, you need to check that each pair of columns is linearly
independent as vectors over $Bbb F_5$. For example, columns $1$ and $2$ are,
since their determinant is $4times1-1times2equiv2pmod 5$. Over to you!
answered Jan 7 at 4:23
Lord Shark the UnknownLord Shark the Unknown
103k1160132
answered Jan 7 at 4:23
Lord Shark the UnknownLord Shark the Unknown
103k1160132
answered Jan 7 at 4:23
Lord Shark the UnknownLord Shark the Unknown
103k1160132
answered Jan 7 at 4:23
Lord Shark the UnknownLord Shark the Unknown
103k1160132
103k1160132
add a comment |
add a comment |
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