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"keytool" Viewing Certificates in DER and PEM
This section provides a tutorial example on how to use 'keytool' to view certificates in DER and PEM formats generated by 'OpenSSL'.
2022-10-04, ∼765🔥, 0💬

"brainpoolP256r1"“ - For 256-Bit ECC Keys
This section describes 'brainpoolP256r1' elliptic curve domain parameters for generating 256-Bit ECC Keys as specified by RFC 5639.
2022-10-01, ∼3373🔥, 0💬

"keytool -keyalg EC" - Generate EC Key Pair
This section provides a tutorial example on how to use 'keytool' provided in JDK (Java Development Kit) package to generate EC private-public key pairs using the the 'keytool -genkeypair -keyalg EC' command.
2022-10-01, ∼2052🔥, 0💬

"secp256k1" - For 256-Bit ECC Keys
This section describes 'secp256k1' elliptic curve domain parameters for generating 256-Bit ECC Keys as specified by secg.org.
2022-10-01, ∼1567🔥, 0💬

Elliptic Curve Point Addition Example
This section provides algebraic calculation example of adding two distinct points on an elliptic curve.
2022-10-01, ∼1082🔥, 0💬

"openssl ecparam -list_curves" - Curves Supported by OpenSSL
This section provides a list of Elliptic Curves supported by OpenSSL.
2022-10-01, ∼1072🔥, 0💬

Download and Install tinyec
This section describes how to install tinyec, which can be done by running the 'pip install tinyec' command.
2022-10-01, ∼923🔥, 0💬

Java Program to Generate EC Keys
This section provides a tutorial example on how to write a Java program to generate EC private-public key pairs.
2022-10-01, ∼855🔥, 0💬

Elliptic Curve Point Doubling Example
This section provides algebraic calculation example of point doubling, adding a point to itself, on an elliptic curve.
2022-10-01, ∼827🔥, 0💬

Infinity Point on an Elliptic Curve
This section describes how the infinity point is used to represent the intersection of vertical lines and elliptic curves.
2022-10-01, ∼738🔥, 0💬

ECDH (Elliptic Curve Diffie-Hellman) Key Exchange
This chapter provides tutorial notes on ECDH key exchange protocol, which is to perform a scalar multiplication of one's own EC private key and other's EC public key to obtain the common shared secret key.
2022-10-01, ∼674🔥, 0💬

Identity Element on an Elliptic Curve
This section describes the 'identity element', which is the 'infinity point' in our addition and subtraction operations on an elliptic curve.
2022-10-01, ∼662🔥, 0💬

"brainpoolP256t1"“ - For 256-Bit ECC Keys
This section describes 'brainpoolP256t1' elliptic curve domain parameters for generating 256-Bit ECC Keys as specified by RFC 5639.
2022-10-01, ∼643🔥, 0💬

Perform Point Addition with tinyec
This section provides a tutorial example on how to perform the point addition operation on a given elliptic curve with tinyec Python library.
2022-10-01, ∼635🔥, 0💬

What Is Hasse's Theorem
This section describes Hasse's Theorem, which states that the order, n, of a reduced elliptic curve group, Ep(a,b), is bounded in the range of [p+1 - 2*sqrt(p), p+1 + 2*sqrt(p)].
2022-10-01, ∼592🔥, 0💬

ECDSA (Elliptic Curve Digital Signature Algorithm)
This chapter provides tutorial notes on ECDSA (Elliptic Curve Digital Signature Algorithm). Topics includes ECDSA digital signature generation process and verification process; security issue of the private key with same random number k is used; find possible public keys from a digital signature; in...
2022-10-01, ∼581🔥, 0💬

Generators and Cyclic Subgroups
This chapter provides introduction on generating subgroups from elements in finite Abelian groups; definitions and examples of subgroup generators, subgroup order, cyclic subgroups, Lagrange-Theorem.
2022-10-01, ∼552🔥, 0💬

EC Cryptography in Java
This chapter provides tutorial notes on generating EC (Elliptic Curve) keys with Java technology. Topics covered include using 'keytool' command to generate EC private-public key pairs; selecting different name elliptic curves or key sizes; writing Java program to generate EC keys.
2022-10-01, ∼539🔥, 0💬

Negation Operation on an Elliptic Curve
This section describes the Negation operation on an elliptic curve. If the resulting point the negation operation of an given point P is R, then P + R is the infinity point.
2022-10-01, ∼536🔥, 0💬

Subtraction Operation on an Elliptic Curve
This section describes the Subtraction operation on an elliptic curve. If the resulting point of the subtraction operation of point Q from P, then P - R = P + (-Q)..
2022-10-01, ∼535🔥, 0💬

Standard Elliptic Curves
This chapter provides tutorial notes on standard elliptic curves. Topics covered include a list of standard curves; domain parameters of some commonly used standard curves; generating and views private-public key pairs associated domain parameters.
2022-10-01, ∼523🔥, 0💬

Python Program for Integer Elliptic Curves
This section provides simple Python program, IntegerEllipticCurve.py, that searches integer points on any given elliptic curve with integer coefficients.
2022-10-01, ∼518🔥, 0💬

What Is Trapdoor Function
This section describes what is Trapdoor Function - An operation that is much easier to perform than its reverse operation.
2022-10-01, ∼515🔥, 0💬

Modular Arithmetic Reduction on Rational Numbers
This section describes how to perform Modular Arithmetic Reduction on Rational Numbers, which is equivalent to perform modular multiplication of the numerator and the multiplicative inverse of the denominator.
2022-10-01, ∼511🔥, 0💬

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