Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Emrah Sercan Yılmaz"'
Autor:
Emrah Sercan Yılmaz, Gary McGuire
Publikováno v:
Journal of Pure and Applied Algebra. 223:3341-3358
In this paper we consider the curves C k ( p , a ) : y p − y = x p k + 1 + a x defined over F p and give a positive answer to a conjecture about a divisibility condition on L-polynomials of the curves C k ( p , a ) . Our proof involves finding an e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1d8f3fd4161cf1a11f43ce20dbeba8fc
https://doi.org/10.1016/j.jpaa.2018.11.005
https://doi.org/10.1016/j.jpaa.2018.11.005
We present the formula for the number of monic irreducible polynomials of degree $n$ over the finite field $\mathbb F_q$ where the coefficients of $x^{n-1}$ and $x$ vanish for $n\ge3$. In particular, we give a relation between rational points of alge
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b6172c7f161d8d1cdc964d25e66c6672
http://arxiv.org/abs/2005.09402
http://arxiv.org/abs/2005.09402
Autor:
Gary McGuire, Emrah Sercan Yılmaz
Publikováno v:
Finite Fields and Their Applications. 54:65-79
In general, the L-polynomial of a curve of genus g is determined by g coefficients. We show that the L-polynomial of a supersingular curve of genus g is determined by fewer than g coefficients
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::63ba206170632e8ff4c6705bf494ebae
https://doi.org/10.1016/j.ffa.2018.06.009
https://doi.org/10.1016/j.ffa.2018.06.009
Publikováno v:
Finite Fields and Their Applications. 51:351-370
Boix, De Stefani and Vanzo have characterized ordinary/supersingular elliptic curves over $\mathbb{F}_p$ in terms of the level of the defining cubic homogenous polynomial. We extend their study to arbitrary genus, in particular we prove that every or
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0121c89a4f2eee10c6b3ce994340c6a9
https://doi.org/10.1016/j.ffa.2018.02.007
https://doi.org/10.1016/j.ffa.2018.02.007
Autor:
Gary McGuire, Emrah Sercan Yılmaz
Publikováno v:
Designs, Codes and Cryptography. 77:653-662
Supersingular elliptic curves have played an important role in the development of elliptic curve crytography. Scott Vanstone introduced the first author to elliptic curve cryptography, a subject that continues to be a rich source of interesting probl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::de4b592578b4bd2364a1cdae5583a15c
https://doi.org/10.1007/s10623-015-0102-6
https://doi.org/10.1007/s10623-015-0102-6
For any positive integers $n\geq 3, r\geq 1$ we present formulae for the number of irreducible polynomials of degree $n$ over the finite field $\mathbb{F}_{2^r}$ where the coefficients of $x^{n-1}$, $x^{n-2}$ and $x^{n-3}$ are zero. Our proofs involv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e12cec4db9fcb1bcff6e00121f12dac
https://surrey.eprints-hosting.org/850388/
https://surrey.eprints-hosting.org/850388/
Publikováno v:
Designs, Codes & Cryptography; Oct2022, Vol. 90 Issue 10, p2407-2417, 11p
Publikováno v:
Applicable Algebra in Engineering, Communication & Computing; Aug2021, Vol. 32 Issue 4, p507-520, 14p
Autor:
Borges, Herivelto, Coutinho, Mariana
Publikováno v:
Transactions of the Moscow Mathematical Society; 2021, Issue 3, p1899-1917, 19p
Autor:
McGuire, Gary, Yılmaz, Emrah
Publikováno v:
Designs, Codes & Cryptography; Dec2015, Vol. 77 Issue 2/3, p653-662, 10p