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Point Pattern of Reduced Elliptic Curves
This section describes elliptic the repeatable pattern of integer points on reduced elliptic curves. If we know the integer points of the curve in one region, we can move them parallelly to any other region.
2022-10-01, ∼309🔥, 0💬

Reduced Elliptic Curve Group - E127(-1,3)
This section provides an example of a reduced Elliptic Curve group E127(-1,3). An example of addition operation is also provided.
2022-10-01, ∼307🔥, 0💬

Prove of Elliptic Curve Addition Operation
This section describes how to prove that the addition operation on an elliptic curve can be successfully performed geometrically.
2022-10-01, ∼306🔥, 0💬

Modular Multiplication of 10 - Not Abelian Group
This section demonstrates that the modular arithmetic multiplication of 10 (integer multiplication operation followed by a modular reduction of 10) can not define an Abelian Group.
2022-10-01, ∼306🔥, 0💬

Creating a Certificate Path with OpenSSL
This section provides a tutorial example on how to create multiple certificates to form a certificate path for testing purpose.
2022-10-04, ∼303🔥, 0💬

Elliptic Curves Reduced by Modular Arithmetic
This section describes elliptic curves reduced by modular arithmetic of prime numbers. We can find lots of more integer points on those reduced elliptic curves.
2022-10-01, ∼303🔥, 0💬

OpenSSL Managing Certificates
This chapter provides tutorial notes and example codes on managing certificates with OpenSSL. Topics include introduction of certificate, generating self-signed certificate; viewing internal components of certificates.
2022-10-09, ∼302🔥, 0💬

Algebraic Solution for Symmetrical Points
This section provides an algebraic solution for calculating the addition operation of two symmetrical points on an elliptic curve.
2022-10-01, ∼301🔥, 0💬

"keytool" - Command Line Tool
This section describes the 'keytool' command tool provided in JDK. 'keytool' can be used to generate and manage private keys and certificates stored in 'keystore' files.
2022-10-06, ∼300🔥, 0💬

DSA Private Key and Public Key Pair Sample
This section provides a tutorial example on how to run JcaKeyPair.java to generate a DSA private key and public key pair sample. Keys are stored PKCS#8 and X.509 encoding formats.
2022-10-05, ∼300🔥, 0💬

Migrating Keys from "keystore" to "OpenSSL" Key Files
This chapter provides tutorial notes and example codes on migrating keys from 'keystore' files to 'OpenSSL' key files. Topics include generating keys in 'keystore' files; dumping keys from 'keystore' files; converting binary key files to PEM format; reading keys with OpenSSL.
2022-10-05, ∼300🔥, 0💬

Multiplicative Notation of Abelian Group
This section describes the multiplicative notation of an Abelian Group. The multiplication sign, *, is used as the operator. Number 1 is used as the identity element.
2022-10-01, ∼299🔥, 0💬

Efficient RSA Encryption and Decryption Operations
This section describes an efficient way of carrying out RSA encryption and decryption operations provided by authors of RSA algorithm.
2022-10-06, ∼294🔥, 0💬

Algebraic Solution for Distinct Points
This section provides an algebraic solution for calculating the addition operation of two distinct points on an elliptic curve.
2022-10-01, ∼293🔥, 0💬

What Is Reduced Elliptic Curve Group
This section describes Reduced Elliptic Curve Groups or Elliptic Curve over Prime Field GF(p), denoted as Ep(a,b), which uses elliptic curve equations reduced by modular arithmetic of prime number p to define the group element set, and uses point addition operation based on the rule of chord reduced...
2022-10-01, ∼293🔥, 0💬

Archived: Visiting an "https" Web Site with Firefox 18
This section describes how Firefox 18 shows a lock icon when you visit an 'https' Web site to provide you more security related information.
2022-10-11, ∼291🔥, 0💬

What Is Encryption?
This section describes what is encryption - A bijection function that uses a key, encryption key, to compute the image.
2022-10-16, ∼290🔥, 0💬

javax.crypto.KeyGenerator - Generating Secret Keys
This section provides a quick introduction of the secret key generation class, javax.crypto.KeyGenerator.
2022-10-16, ∼288🔥, 0💬

Managing Certificates in Certificate Stores
This section provides a tutorial example on how to use Chrome to manage certificates installed in certificate stores.
2022-10-08, ∼287🔥, 0💬

Algebraic Solution for the Infinity Point
This section provides an algebraic solution for calculating the addition operation of two points on an elliptic curve with one of them is the infinity point.
2022-10-01, ∼287🔥, 0💬

Cipher - Public Key Encryption and Decryption
This chapter provides tutorial notes and example codes on the cipher process. Topics include the cipher class, javax.crypto.Cipher; the cipher sample program and test results with DSA and RSA encryption algorithms.
2022-10-05, ∼286🔥, 0💬

Generating Private Keys
This section provides a tutorial example on how to use the 'keytool -genkey' command to generate a pair of private key and public key. This command also generates a self-signed certificate from the key pair.
2022-10-15, ∼285🔥, 0💬

Block Padding in mcrypt
This section describes the padding schema used in PHP mcrypt library for MCRYPT_MODE_ECB and MCRYPT_MODE_CBC modes. mcrypt simply pads 0x00 to the end of the plaintext.
2022-10-08, ∼285🔥, 0💬

Python Program for Reduced Elliptic Curves
This section provides a Python program that finds all points on a reduced elliptic curve group, Ep(a,b).
2022-10-01, ∼284🔥, 0💬

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