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Doubling or Squaring in Abelian Group
This section describes what is Doubling or Squaring in Abelian Groups. When performing the Abelian Group operation on two identical elements, this operation is called Squaring in multiplicative notation or Doubling in additive notation.
2022-10-01, ∼226🔥, 0💬

X.509 Certificate Standard
This section describes the X.509 certificate standard - An international standard that defines what should be included in a digital certificate.
2022-10-07, ∼225🔥, 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, ∼224🔥, 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, ∼221🔥, 0💬

Introducting DES Stream Cipher Modes
This section describes what are DES encryption stream cipher modes and how CFB and OFB block operation modes can be modified as stream modes.
2022-10-05, ∼220🔥, 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, ∼219🔥, 0💬

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, ∼219🔥, 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, ∼218🔥, 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, ∼217🔥, 0💬

Cloning Certificates with New Identities
This section provides a tutorial example on how to use the 'keytool -keyclone' and 'keytool -selfcert' commands to clone an existing key entry and self-sign it with a new identity.
2022-10-08, ∼216🔥, 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, ∼216🔥, 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, ∼215🔥, 0💬

Every Element Is Subgroup Generator
This section describes the fact that every element in an finite Abelian group is a subgroup generator. The order of the generated subgroup is the same as the order of the element.
2022-10-01, ∼215🔥, 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, ∼214🔥, 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, ∼213🔥, 0💬

Finite Elliptic Curve Group, Eq(a,b), q = p^n
This section describes finite elliptic curve groups constructed with modular arithmetic reduction of prime power numbers, p^n.
2022-10-01, ∼213🔥, 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, ∼211🔥, 0💬

Element Generated Subgroup Is Cyclic
This section describes the fact that all subgroups generated from elements in finite Abelian groups are cyclic groups.
2022-10-01, ∼211🔥, 0💬

Reduced Elliptic Curve Group - E1931(443,1045)
This section provides an example of a reduced Elliptic Curve group E1931(443,1045).
2022-10-01, ∼211🔥, 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, ∼205🔥, 0💬

Reduced Point Additive Operation
This section describes what is the reduced point additive operation in algebraic format, which is the same as the original additive operation reduced by modular arithmetic of prime number p.
2022-10-01, ∼203🔥, 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, ∼202🔥, 0💬

Reading RSA Private and Public Key Files
This section provides a tutorial example on running the test program JcaKeyFactoryTest.java to generate, write, read and convert RSA private and public keys.
2022-10-06, ∼202🔥, 0💬

Managing Certificates in Certificate Stores
This section provides a tutorial example on how to access and manage certificates pre-installed Firefox.
2022-10-05, ∼202🔥, 0💬

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