Cyclic codes

[Rubik]

How do you determine burst error patterns so for example B₁₅(4)? I do not understand the method at all

 

[Rubik]

I think the bursts of length at most 4 are {}, 1, 11, 111, 101, 1111, 1101, 1011, 1001 does anyone know if this correct? And next if I am asked to calculate C(B₁₅(4)) does that mean I have to write the set of all 000000000000000,1000000000000000, ...? Any help would be greatly appreciated.

 

[Rubik]

Sorry I meant if I asked to calculate the size of C(B₁₅(4)) Does that mean I have to write out the set of all 000000000000000, 100000000000000, ... or is there a formula I can use?

 

[micromass]

Could you perhaps give me a reference to what book/course you're using? Because I don't understand some of the notations you're using...

 

[Rubik]

It's a coding course.. and the notation is a code (C) with Bursts of length 4 (B₁₅(4)).. i.e all the {}, 1, 11, 111, 1111, ... of a 15 bit string so the 15 = 100000000000000 etc

I need to use the number of cyclic shifts and I got an answer of 104 but I think I am missing some.. :(