Build a set of code words.

Lecture



Build a set of code words .


If a generating matrix is ​​specified, then the entire set of code words can be obtained by all possible linear combinations of rows of the matrix. For G 1, we construct all code words:

V 1

V 1 ΘV 2

V 1 ΘV 2 ΘV 3

V 2

V 1 ΘV 3

V 1 ΘV 2 ΘV 4

V 3

V 1 ΘV 4

V 2 ΘV 3 ΘV 4

V 4

V 2 ΘV 3

V 1 ΘV 3 ΘV 4

V 2 ΘV 4

V 1 ΘV 2 ΘV 3 ΘV 4

V 3 ΘV 4

1000110

1100011

1110000

0100101

1010101

1101100

0010011

1001001

0111001

0001111

0110110

1011010

0101010

1111111

0011100

and 0000000.

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Information and Coding Theory

Terms: Information and Coding Theory