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Mathematics
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user272027
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  • Member for 9 years, 3 months
  • Last seen more than 8 years ago
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25
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12
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question
3
If $\phi$ : $F_2[X]/(X^3+X+1)$ $\rightarrow$ $F_2[X]/(X^3+X^2+1)$ is an isomorphism, then prove that $\phi(a)=b+1$, with $a$, $b$ the classes of $X$ [duplicate]
Nov 1, 2015
question
2
Solve the congruence relations for x
Jan 5, 2016
question
1
Prove that $\mathrm{ord}(a^d)=\mathrm{ord}(a)/d$ when $d$ divides $\mathrm{ord}(a)$
Sep 18, 2015
question
1
Prove that $a^\text{1/2 ord(a)}\equiv - 1\pmod n$
Sep 19, 2015
question
1
Show that if you can find four solutions b of $b^2\equiv a\pmod n$, where $n=p*q$, then you can find $p$, $q$
Oct 4, 2015
question
1
$P$ is a prime number not equal to $2$ or $3$. Show that $p - 6$ is a quadratic residue $\pmod p$ whenever...
Oct 31, 2015
question
1
Show that $a^3+a+1$ is in the subfield $L$ with $4$ elements of the field $K=F_2[X]/(X^4+X^3+1)$
Oct 31, 2015
question
1
show that $(a+b)^{p^n}\equiv a^{p^n} + b^{p^n}\pmod p$ where $p$ is a prime and n$\ge$1.
Nov 30, 2015