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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, 175🔥, 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, 173🔥, 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, 172🔥, 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, 171🔥, 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, 171🔥, 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, 168🔥, 0💬

AES, or Rijndael, Encryption Algorithm
A quick description of the AES (Advanced Encryption Standard) encryption algorithm is provided. This description only covers AES encryption for a single block of 128-bit plaintext with a 128-bit cipher key.
2022-10-04, 167🔥, 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, 166🔥, 0💬

Java Default Implementation of DSA
This chapter provides tutorial notes and example codes on the Java default implementation of DSA (Digital Signature Algorithm). Generating DSA key pair in Java; Examples of public key and private key pairs; Checking DSA key parameter; Generating DSA digital signature in Java using SHA1withDSA; Verif...
2022-10-13, 164🔥, 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, 162🔥, 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, 162🔥, 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, 161🔥, 0💬

Reduced Point Additive Operation Improved
This section describes the improved version of the reduced point additive operation by applying the same modular arithmetic reduction on the parameter m as the reduced elliptic curve equation.
2022-10-01, 161🔥, 0💬

"DumpKey.java" Dumping Private Keys Out of "keystore"
This section provides a tutorial example on how to dump private key and public key pair output of a 'PrivateKeyEntry' in a 'keystore' file using a Java program, DumpKey.java.
2022-10-05, 157🔥, 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, 157🔥, 0💬

PKCS#8 and X.509 Key Encoding Classes
This section describes 2 JDK classes: PKCS8EncodedKeySpec representing the PKCS#8 encoding standard and the X.509 encoding standard.
2022-10-05, 155🔥, 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, 153🔥, 0💬

OpenSSL Validating Certificate Path
This chapter provides tutorial notes and example codes on certificate path validation with OpenSSL. Topics include introduction of certificate path; certificate path validation rules; generating and validating a certificate path.
2022-10-04, 153🔥, 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, 151🔥, 0💬

Viewing Certificate Details
This section provides a tutorial example on how to view certificate details when visiting an 'https' Web site in Firefox.
2022-10-04, 150🔥, 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, 149🔥, 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, 149🔥, 0💬

OFB (Output FeedBack) as a Stream Cipher
This section describes how DES OFB (Output FeedBack) operation mode can be modified as a 1-bit stream cipher or a 1-byte stream cipher.
2022-10-04, 147🔥, 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, 146🔥, 0💬

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