Keywords: منحنی بیضوی; 14H52; 14K02; Finite field; Elliptic curve; Isogeny; Volcano; Distortion map;
مقالات ISI منحنی بیضوی (ترجمه نشده)
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Keywords: منحنی بیضوی; Digital signature; Elliptic curve; Certificateless cryptography; Random oracle model; Provable security;
Keywords: منحنی بیضوی; 15A60; 11E20; Inverse numerical range; Determinantal representation; Elliptic curve; Kernel vector function;
Keywords: منحنی بیضوی; Elliptic curve; Function field; Torsion subgroup; Torsion; Genus; Genus 0;
Keywords: منحنی بیضوی; 11R11; 11R29; Champion prime; Elliptic curve; Complex multiplication; Sato-Tate; Lang-Trotter;
Keywords: منحنی بیضوی; Elliptic curve; Rational points; Finite field; Field extension; Isomorphism; Isogeny; Valuation;
Keywords: منحنی بیضوی; Elliptic curve; Monodromy; Riemann-Hilbert problem; Logarithmic connection;
Keywords: منحنی بیضوی; primary, 11D25, 11D72; secondary, 11G05Right triangle; Parallelogram; Common area; Common perimeter; Elliptic curve
Keywords: منحنی بیضوی; Hyperbolic; Elliptic curve; Triangle; Rational
Keywords: منحنی بیضوی; Attracting fixed point; Elliptic curve; Family of Lattès maps; Impossible intersections; Preperiodic point; Torsion
Keywords: منحنی بیضوی; Public key cryptosystem; Digital signature; Elliptic curve; Batch verification; Non-adjacent form
Keywords: منحنی بیضوی; Advanced Encryption Standard; Cryptography; Elliptic Curve; Message Digest-5; XOR-Dual RSA
Keywords: منحنی بیضوی; 11H06; 11H31; 11G20; Elliptic curve; Lattice; Minimal vector; Basis; Covering radius;
Keywords: منحنی بیضوی; 11T71Pairing-based cryptosystem; Elliptic curve; Cyclotomic polynomial
Keywords: منحنی بیضوی; 05C50; 14H52; Unicyclic graphs; Elliptic curve; Rational solutions;
Keywords: منحنی بیضوی; Authentication scheme; Anonymous authentication; Mobile networks; Roaming; Elliptic curve
Keywords: منحنی بیضوی; Key management; Mobile agent; Elliptic curve; Migration; Mobile computing; MANET
Keywords: منحنی بیضوی; Root number; Elliptic curve; Galois representation;
Keywords: منحنی بیضوی; Elliptic curve; Galois representations; Modular curve; Non-split Cartan group;
Keywords: منحنی بیضوی; 11T71; 11Y16; 11G20; 13P10; 14G15; 14H52; Elliptic curve; Discrete logarithm problem (DLP); Prime field; Summation polynomials; Groebner basis;
Frobenius distributions in short intervals for CM elliptic curves
Keywords: منحنی بیضوی; Elliptic curve; Trace of Frobenius; Frobenius distributions; Sato-Tate conjecture; Lang-Trotter conjecture; Complex multiplication; Elliptic champion prime; Elliptic trailing prime;
An elementary computation of the F-pure threshold of an elliptic curve
Keywords: منحنی بیضوی; F pure threshold; Elliptic curve; Supersingularity; Deuring polynomials; Hasse invariant;
Mordell-Weil lattice of Inose's elliptic K3 surface arising from the product of 3-isogenous elliptic curves
Keywords: منحنی بیضوی; primary; 14J27; 14J28; secondary; 14H52; 11G05; K3 surface; Elliptic surface; Elliptic curve;
Vanishing of hyperelliptic L-functions at the central point
Keywords: منحنی بیضوی; Zeta function; Hyperelliptic curve; Elliptic curve; Finite field; Function field;
A parametrization of θ-congruent numbers with many prime factors and with prescribed prime factors
Keywords: منحنی بیضوی; Elliptic curve; Congruent number; θ-congruent number;
The one-dimensional line scheme of a family of quadratic quantum P3s
Keywords: منحنی بیضوی; 14A22; 16S37; 16S38; Line scheme; Point scheme; Elliptic curve; Regular algebra; Plücker coordinates;
Auxetic deformations and elliptic curves
Keywords: منحنی بیضوی; Periodic framework; Auxetic deformation; Elliptic curve; Aronhold invariants; Zeolites;
Torsion subgroups of rational elliptic curves over the compositum of all D4 extensions of the rational numbers
Keywords: منحنی بیضوی; primary; 11G05; secondary; 11R21; 12F10; 14H52; Elliptic curve; Torsion points; Galois theory;
Integral isosceles triangle-parallelogram and Heron triangle-rhombus pairs with a common area and common perimeter
Keywords: منحنی بیضوی; 11D25; 11G05; Elliptic curve; Isosceles triangle; Heron triangle; Parallelogram; Rhombus; Common area; Common perimeter;
Secure and efficient hand-over authentication in WLAN using elliptic curve RSA
Keywords: منحنی بیضوی; Authentication; Elliptic curve; RSA; Hand-over; HashHand; WLAN;
Some techniques for faster scalar multiplication on GLS curves
Keywords: منحنی بیضوی; Cryptography; Elliptic curve; Hyperelliptic curve; Scalar multiplication algorithm; GLV method
A novel lottery protocol for mobile environments
Keywords: منحنی بیضوی; E-lottery; Fairness; Elliptic curve; Attack; Mutual authentication
A new RGB image encryption algorithm based on DNA encoding and elliptic curve Diffie-Hellman cryptography
Keywords: منحنی بیضوی; DNA encoding; Elliptic curve; Finite field; Asymmetric key; Image encryption;
Isomorphism classes of Doche-Icart-Kohel curves over finite fields
Keywords: منحنی بیضوی; 11G05; 11T06; 14H52; Elliptic curve; j-Invariant; Isomorphism; Cryptography;
Images of 2-adic representations associated to hyperelliptic Jacobians
Keywords: منحنی بیضوی; Galois group; Elliptic curve; Hyperelliptic curve; Jacobian variety; Tate module
On products of consecutive arithmetic progressions
Keywords: منحنی بیضوی; primary; 11D25; secondary; 11D72; 11G05; Diophantine equation; Consecutive arithmetic progression; Pell's equation; Elliptic curve;
On the class numbers of the fields of the pnpn-torsion points of certain elliptic curves over QQ
Keywords: منحنی بیضوی; Elliptic curve; Mordell–Weil rank; Class number
The one-dimensional line scheme of a certain family of quantum P3P3s
Keywords: منحنی بیضوی; 14A22; 16S37; 16S38Line scheme; Point scheme; Elliptic curve; Regular algebra; Plücker coordinates
Hankel determinant solution for elliptic sequence
Keywords: منحنی بیضوی; 37K10; 11B37; 11B83Elliptic sequence; Elliptic curve; Hankel determinant; Somos sequence
Families of elliptic curves with prescribed torsion subgroups over dihedral quartic fields
Keywords: منحنی بیضوی; primary; 11G05; secondary; 11G18; Elliptic curve; Torsion; Dihedral quartic number field; Modular curve;
Determination of elliptic curves by their adjoint p-adic L-functions
Keywords: منحنی بیضوی; L-function; p-adic L-function; Elliptic curve
Fourier–Mukai partners of singular genus one curves
Keywords: منحنی بیضوی; primary, 18E30, 14F05; secondary, 18E25, 14H52Fourier–Mukai partners; Elliptic curve; Autoequivalence; Kodaira degenerations
Average behaviors of invariant factors in Mordell-Weil groups of CM elliptic curves modulo p
Keywords: منحنی بیضوی; 11G05; Elliptic curve; Invariants; Average;
Value sets of Lattès maps over finite fields
Keywords: منحنی بیضوی; 11G20; Dickson polynomial; Lattès map; Elliptic curve; Complex multiplication; Permutation;
p-adic Eisenstein–Kronecker series and non-critical values of p-adic Hecke L-function of an imaginary quadratic field when the conductor is divisible by p
Keywords: منحنی بیضوی; Hecke L-function; p-adic L-function; Elliptic curve; Complex multiplication; Coleman function; Eisenstein–Kronecker series
Congruences involving (2kk)2(3kk)
Keywords: منحنی بیضوی; primary; 11A07; secondary; 33C45; 11E25; 11G07; 11L10; 05A10; 05A19; Congruence; Legendre polynomial; Character sum; Elliptic curve; Binary quadratic form;
Extended elliptic curve Montgomery ladder algorithm over binary fields with resistance to simple power analysis
Keywords: منحنی بیضوی; Composite formulas; Elliptic curve; Montgomery ladder algorithm; Side-channel atomicity; Simple power analysis
An efficient certificateless proxy signature scheme without pairing
Keywords: منحنی بیضوی; Certificateless public key cryptography; Proxy signature; Bilinear pairings; Elliptic curve; Random oracle model
Arithmetic properties of Picard–Fuchs equations and holonomic recurrences
Keywords: منحنی بیضوی; primary, 11F03, 14H52; secondary, 11B83, 11B37Holonomic recurrence; Picard–Fuchs differential equation; Modular form; Elliptic curve; Congruence; Asymptotics
The complex AGM, periods of elliptic curves over CC and complex elliptic logarithms
Keywords: منحنی بیضوی; Elliptic curve; Period lattice; Elliptic logarithm; Arithmetic–geometric mean