Does the set of cyclic codewords / codeword polynomials themselves form a field ? I think they donot because the modulo operation is with respect to $x^n-1$ which is not a prime polynomial. Also the ...
I'm on the last semester of my bachelor's degree (undergrad degree) and I will be writing my thesis next semester. I have talked to a professor at my university and one of the topics he suggested was ...
Given a generator polynomial, how do I calculate minimum distance for the code. I am working in GF(2). A particular case of interest is the cyclic code of length $9$ generated by $$ ...
I stumbled upon the following question in the problem section of a book on coding theory. A galois field $GF(2^4)$ is constructed as $K[x]$ modulo $1 + x^3 + x^4$ and $\beta$ is the class of $x$, so ...
My question is regarding LFSRs (Linear Feedback Shift Registers), and the binary Galois Field produced by them (also commonly termed GF($2^n$) ). I understand that a given n-bit LFSR produces a ...
I am attempting to generate QR codes on an extremely limited embedded platform. Everything in the specification seems fairly straightforward except for generating the error correction codewords. I ...