Results 101 to 110 of about 4,610 (199)
Acceleration of Inner-Pairing Product Operation for Secure Biometric Verification. [PDF]
Sensors (Basel), 2021 Jeon SY, Lee MK.
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Adding Level Structure to Supersingular Elliptic Curve Isogeny Graphs
Journal de théorie des nombres de BordeauxIn this paper, we add the information of level structure to supersingular elliptic curves and study these objects with the motivation of isogeny-based cryptography. Supersingular elliptic curves with level structure map to Eichler orders in a quaternion algebra, just as supersingular elliptic curves map to maximal orders in a quaternion algebra via the
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On supersingular primes of the Elkies' elliptic curve
Functiones et Approximatio Commentarii Mathematici, 2019 Let $E$ be the elliptic curve $y^2=x^3+(i-2)x^2+x$ over the imaginary quadratic field $\mathbb{Q}(i)$. In this paper, we investigate the supersingular primes of $E$. We introduce the curve $C$ of genus two over $\mathbb{Q}$ covering a quotient of $E$ and for any prime number $p$, we state a condition (over $\mathbb{F}_p$) about the reduction of the ...
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The Iwasawa Main Conjecture for elliptic curves at odd supersingular\n primes [PDF]
, 2016 Florian Sprung
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A secure and efficient certificateless content extraction signature with privacy protection. [PDF]
PLoS One, 2021 Zhao C, Liu J, Zheng F, Wang D, Meng B.
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Supersingular zeros of divisor polynomials of elliptic curves of prime\n conductor [PDF]
, 2016 Matija Kazalicki, Daniel P. Kohen
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Endomorphism rings of supersingular elliptic curves over $\mathbb{F}_p$
, 2019 Let $p>3$ be a fixed prime. For a supersingular elliptic curve $E$ over $\mathbb{F}_p$ with $j$-invariant $j(E)\in \mathbb{F}_p\backslash\{0, 1728\}$, it is well known that the Frobenius map $ =((x,y)\mapsto (x^p, y^p))\in \mathrm{End}(E)$ satisfies $ ^2=-p$. A result of Ibukiyama tells us that $\mathrm{End}(E)$ is a maximal order in $\mathrm{End}(
Li, Songsong, Ouyang, Yi, Xu, Zheng
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High-Speed and Unified ECC Processor for Generic Weierstrass Curves over GF(p) on FPGA. [PDF]
Sensors (Basel), 2021 Awaludin AM, Larasati HT, Kim H.
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On the plus and the minus Selmer groups for elliptic curves at supersingular primes [PDF]
, 2016 Takahiro Kitajima, Rei Otsuki
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