How to generate the generator matrix?

[Aya2002]

Generator Matrix

Hello Friends

whenever i google for the channel coding and the generator matrix, i face the generator matrix G(4,7) or other, but i want to know, how to generate the generator matrix itself?

i read a lot of books about GF and the algebra for the fields, rings, and sub fields and so on..... but i need something to be like the rule of thumb, help me please.

every time i find this generator matrix as an example in most the websites or tutorials or books...........

g=[1 0 0 1 1 1 0 1 1 1;
1 1 1 0 0 0 1 1 1 0;
0 1 1 0 1 1 0 1 0 1;
1 1 0 1 1 1 1 0 0 1];

Best regards

 

[puripong]

Generator Matrix

I think the minimum distance is the rule of creating G

 

[Aya2002]

Re: Generator Matrix

I think the minimum distance is the rule of creating G

No my friend, this is wrong, there are some rules must obey such as the polynomials and fields and so on......

 

[DEV123]

Did you got the answer my friend, I am also having the same doubt................

-Devanand T

 

[rohit.p]

pls refer this....

https://uotechnology.edu.iq/dep-eee/lectures/4th/Communication/Information theory/5.pdf