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### Roots in a polynomial over $GF(2^8)$?

Hi, I have a polynomial $x^8+x^7+x^5+x^3+1$ and I want to find the roots of this polynomial over $GF(2^8)$? In the paper of Patrick Ekdahl and Thomas Johansson about a new version of SNOW they used this roots ($\beta^{23}, \beta^{48}, \beta^{239}$ and $\beta^{245}$, but I want all roots for this polynomial.

Thanks

 2 retagged FrédéricC 2246 ●3 ●25 ●45

### Roots in a polynomial over $GF(2^8)$?

Hi, I have a polynomial $x^8+x^7+x^5+x^3+1$ and I want to find the roots of this polynomial over $GF(2^8)$? In the paper of Patrick Ekdahl and Thomas Johansson about a new version of SNOW they used this roots ($\beta^{23}, \beta^{48}, \beta^{239}$ and $\beta^{245}$, but I want all roots for this polynomial.

Thanks