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Elliptic Curve Operation Summary
This section provides a summary of elliptic curve operations and their properties discussed in this chapter.
2022-10-01, ∼253🔥, 0💬

What Is Key Encoding?
This section describes private and public key encoding standards: PKCS#8 is used for encoding private keys and X.509 is used for encoding public keys.
2022-10-06, ∼252🔥, 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, ∼252🔥, 0💬

Viewing Certificate Details
This section provides a tutorial example on how to view certificate details when visiting an 'https' Web site in Chrome.
2022-10-07, ∼250🔥, 0💬

Elliptic Curves in Integer Space
This section describes the fact that elliptic equations in 2-dimensional integer space can not be used to construct Abelian groups.
2022-10-01, ∼249🔥, 0💬

Introduction of RSA Algorithm
This chapter provides tutorial notes and example codes on RSA public key encryption algorithm. Topics include illustration of public key algorithm; proof of RSA encryption algorithm; security of public key; efficient way of calculating exponentiation and modulus; generating large prime numbers.
2022-10-13, ∼248🔥, 0💬

OpenSSL Generating and Signing CSR
This chapter provides tutorial notes and example codes on CSR (Certificate Signing Request) handling with OpenSSL. Topics include introduction of certificate signing process; generating CSR; signing CSR.
2022-10-05, ∼247🔥, 0💬

"openssl dsa" Viewing Private and Public Key Pair
This section provides a tutorial example on how to view a private and public key pair stored in PEM format using the 'openssl dsa' command. The key pair was originally generated by the 'keytool -genkeypair' command.
2022-10-04, ∼247🔥, 0💬

DsaKeyChecker.java - Reading and Checking DSA Keys
This section provides a tutorial example on how to read DSA public key and private key back from the key files, assuming they are using PKCS#8 and X.509 encoding formats.
2022-10-05, ∼246🔥, 0💬

Reduced Elliptic Curve Group - E97(-1,1)
This section provides an example of a reduced Elliptic Curve group E97(-1,1). Some example points on the curve are is also provided.
2022-10-01, ∼246🔥, 0💬

What Is a Certification Path?
This section describes what is a certificate path or certificate chain - An ordered list of certificates where the subject entity of one certificate is identical to the issuing entity of the next certificate.
2022-10-05, ∼244🔥, 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, ∼243🔥, 0💬

Example of DSA Key Parameters and Properties
This section provides 2 DsaKeyChecker.java output examples to show DSA key parameters and properties.
2022-10-06, ∼242🔥, 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, ∼240🔥, 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, ∼238🔥, 0💬

What is CBC (Cipher Block Chaining) Operation Mode?
This section describes what is CBC (Cipher Block Chaining) Operation Mode - each plaintext block is XORed with the ciphertext of the previous block before encryption.
2022-10-08, ∼237🔥, 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, ∼236🔥, 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, ∼235🔥, 0💬

DES in Stream Cipher Modes
This chapter provides tutorial examples and notes about DES stream cipher modes. 1-bit, 1-byte and 8-byte stream ciphers, Topics include modifying DES CFB and OFB block ciphers to stream ciphers; using DES stream ciphers provided in the JDK JCE package.
2022-10-11, ∼234🔥, 0💬

Finding Large Prime Numbers
This section describes different ways to generate large prime numbers to be used to generate public key and private key. Today most RSA tools are using probable prime numbers.
2022-10-05, ∼234🔥, 0💬

Exporting Certificate from Chrome to File
This section provides a tutorial example on how to export the certificate provided by an 'https' Web site from Chrome to a file.
2022-10-04, ∼231🔥, 0💬

What Is PKCS#12?
This section describes what is PKCS#12 - One of the PKCS (Public Key Cryptography Standards) used to store a private key and its self-signed certificate together as a single file.
2022-10-07, ∼230🔥, 0💬

Integer Points of First Region as Element Set
This section describes how to use all integer points from the first region on a reduced elliptic curve as the element set to try to construct an Abelian group.
2022-10-01, ∼230🔥, 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, ∼229🔥, 0💬

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