# Tagged Questions

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### Studying a code in cryptography

So,i'm given a binary code $C$ with it's generator matrix $G=(A,B)$ where $A,B$ are given matrices. The task is to study the code. First question: What does this form $(A,B)$ mean? how would $G$ look ...
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### Periodic streams

I have problems proving the following result; Suppose you have two periodic streams $x_n$ with period $M$ and $y_n$ with period $N$. The streams $x_n+y_n$ and $x_n y_n$ are periodic with periods ...
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### Bachelor Thesis - Galois Theory Research Topics?

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 ...
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### Determine the number of divisors in $K[x]$ of $1 + x^{15}$ and of $1+x^{120}$

where $K[x]$ is the set of all polynomials where coefficients are elements of $K$ $(0,1)$ Is this related to the problem of finding how many cyclic linear codes there are if $n = 15$ and $120$? I've ...
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### find the degree of a minimal polynomial for a galois field element in an efficient way (by hand)

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 ...
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### Markov Chain + Decoding algorithm

I am ready a paper Canteaut and Chabaud, I don't get understand the values of transition matrix $P$, in the Proposition 4. If, anybody read this paper please help me understand this values: $P_{u,u}$, ...