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visits member for 1 year, 2 months
seen Jul 29 at 9:01

welcome to contact and communicate with me.Email: in here


Sep
24
awarded  Autobiographer
Jul
30
awarded  Yearling
May
13
comment The number of subgroup in $\mathbb{Z}_N^*$
no, it's not I want, e.g. in the $\mathbb{Z}_N^*$, there is a subgroup $\mathbb{G}$ and $\mathbb{G} \subset \mathbb{Z}_N^*$. Now I suppose the order of $\mathbb{G}$ is $p$. Then, what I want to know is how many different subgroups with order $p$ in $\mathbb{Z}_N^*$. things like that ..
May
13
asked The number of subgroup in $\mathbb{Z}_N^*$
Nov
14
answered Does the $\gcd(2n-1,2n+1)=1?$
Oct
15
awarded  Commentator
Sep
18
comment A problem about the discrete logarithm
maybe we could use some tricks of choosing some special $x$ that can reveal some information of $b$.
Sep
18
answered How to solve $e^x = 2$
Sep
18
asked A problem about the discrete logarithm
Sep
16
comment Let $G$ be a group with order $p$ a prime number. Show $G$ is cyclic.
thanks i have corrected as you've said
Sep
16
revised Let $G$ be a group with order $p$ a prime number. Show $G$ is cyclic.
added 15 characters in body
Sep
16
answered Let $G$ be a group with order $p$ a prime number. Show $G$ is cyclic.
Sep
16
awarded  Teacher
Sep
15
answered Proving that identity element is the only element of a group
Sep
14
comment how to find generator in $ F_2[x]/(f(x))$?
@JyrkiLahtonen why "$m(m(x))$ is divisible by $f(x)$"?
Sep
14
revised how to find generator in $ F_2[x]/(f(x))$?
edited title
Sep
14
comment how to find generator in $ F_2[x]/(f(x))$?
@JyrkiLahtonen let $\xi$ be a generator in $F_{2^n}$, $m(x)$ is the characteristic polynomial of $\xi$. there is a map : $\xi \to m(x)$, considering $\xi^2 \to m(x)^2$,$\xi^3 \to m(x)^3$,...,$\xi^{2^n-1} \to m(x)^{2^n-1}$. Because $\xi$ is generator so $\xi,...,\xi^{2^n-1}$ are all pairwise different and so do $m(x),...,m(x)^{2^n-1}$. now $\{m(x),...,m(x)^{2^n-1}\} \pmod{f(x)} \in F_2[x]/(f(x))$, they are different from each other
Sep
14
comment how to find generator in $ F_2[x]/(f(x))$?
@JyrkiLahtonen can i get a generator in $F_2[x]/(f(x))$ by $m(x)\pmod{f(x)}$?
Sep
12
comment how to find generator in $ F_2[x]/(f(x))$?
if a primitive polynomial ( degree$=n$ )is found, then it's roots are primitive elements. considering one of these roots $\xi$, $\varphi(\xi)=k(x)$, then a $k(x)$ is found. is this feasible?
Sep
12
asked how to find generator in $ F_2[x]/(f(x))$?