4
votes
1answer
160 views

Combinatory + Coding Theory

I am reading about an algorithm for finding minimum-weight words in large linear codes. Let $c$ be the codeword of weight $w$ to recover (with size $n$ and in $GF(2)$). Let $N = \left\{1, 2, \ldots, ...
0
votes
1answer
76 views

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: $P_{u,u}$, ...
0
votes
0answers
77 views

Eavesdropping but not CPA Secure

Show assuming the existence of a pseudorandom function that there is a encryption scheme which is indistinguishable for multiple encryptions in the presence of an eavesdropper, but is not CPA secure.
1
vote
1answer
22 views

What is a memoryless nonlinear boolean function?

I have been reading about shift register based keystream generators in cryptography. One usual method of generating keystream sequences is feeding the output of several Linear Feedback Shift Registers ...
2
votes
0answers
47 views

(Please check working) Given RSA encoding function $E: x\to x^{11} \pmod{3737}$ find the decoding function $D$

Please check the working and final answer to the question: Question: Given RSA encoding function $E: x\to x^{11} \pmod{3737}$ find the decoding function $D$ My working: $\phi(3737) = \phi(37) \times ...
0
votes
0answers
46 views

cryptographyVs matrices

I need a good example(s) and justification to the following. If any one can help, I am so glad to them. I understand the original computation. However, I am little confused in writing coding and ...
1
vote
1answer
169 views

Generator matrices of codes

I need a little help please. The Klein curve $X\subset \mathbb{P}^{2} $ given by homogeneous equation: $x^{3}y+y^{3}z+z^{3}x=0$. Show that the space $L(m(z))$ is generated by elements of the form ...
1
vote
1answer
180 views

Linear Code in Cryptography

Is it possible to construct a [6,2] linear code that is two-error correcting? I think I need to use this Theorem: Suppose that C is a t-error correcting code in (Z_2)^8. Then order(C)*((n choose ...
1
vote
1answer
96 views

Error Correcting Codes

Let $C$ be the two-error correcting code: $\{(00000000),(11100011),(00011111),(11111100)\}$ in $(Z_2)^8$. Then it says to find two vectors that are correctable to a codeword in $C$ (of bit length ...
7
votes
2answers
571 views

Is the set of all finite sequences of letters of Latin alphabet countable/uncountable? How to prove either?

Today in Coding/Cryptography class, we were talking about basic definitions, and the professor mentioned that for a set $A=\left \{ \left. a, b, \dots, z \right \} \right.$ (the alphabet) we can ...