Analyzing Burst Error Patterns: B15(4) Explained

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The discussion focuses on understanding burst error patterns, specifically B15(4), which involves bursts of length at most 4 within a 15-bit string. Participants clarify that the correct burst patterns include combinations like {}, 1, 11, 111, and 1111. There is confusion regarding calculating C(B15(4)), with questions about whether to list all possible combinations or if a formula exists for size calculation. The mention of cyclic shifts indicates a method for determining the total number of valid patterns, with one user arriving at an answer of 104 but feeling uncertain about completeness. Overall, the thread seeks clarity on notation and methods related to burst error coding.
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How do you determine burst error patterns so for example B15(4)? I do not understand the method at all
 
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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.
 
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?
 
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...
 
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.. :(
 

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