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Examples of Discrete Logarithm Problem (DLP)
This section describes the Discrete Logarithm Problem (DLP) in several Abelian Group examples, including elliptic curve groups. 2022-10-01, ∼500🔥, 0💬
Java Implementation of DES - Test Cases
This section provides two test cases for the Java implementation of DES algorithm, CipherDES.java. 2018-03-30, ∼500🔥, 2💬
DLP and Trapdoor Function
This section exams the difficulty level of the Discrete Logarithm Problem (DLP) in several Abelian Group examples to see if them can be used to build trapdoor functions. 2022-10-01, ∼491🔥, 0💬
Elliptic Curves with Singularities
This section describes elliptic curves with singularities where curves are not smooth. 2022-10-01, ∼489🔥, 0💬
How to Calculate "M**e mod n"
This section discusses the difficulties of calculating 'M**e mod n'. The intermediate result of 'M**e' is too big for most programming languages. 2022-10-04, ∼483🔥, 0💬
mcrypt Library for PHP
This section describes the mcrypt library - encryption extension for PHP. mcrypt supports DES and many other encryption algorithms. 2019-12-19, ∼478🔥, 1💬
Archived Tutorials
This chapter contains some outdated tutorial notes and example codes from previous versions of this book. 2022-10-06, ∼469🔥, 0💬
Modular Addition of 10 - Abelian Group
This section provides an Abelian Group using the modular arithmetic addition of 10 (integer addition operation followed by a modular reduction of 10). 2022-10-01, ∼463🔥, 0💬
Order of Subgroup and Lagrange Theorem
This section describes Lagrange Theorem which states that the order of any subgroup in an finite Abelian group divides the order of the parent group. 2022-10-01, ∼463🔥, 0💬
Algebraic Description of Elliptic Curve Addition
This section provides an algebraic description of the problem of calculating the addition operation defined on an elliptic curve. 2022-10-01, ∼455🔥, 0💬
Additive Notation of Abelian Group
This section describes the Additive notation of an Abelian Group. The addition sign, +, is used as the operator. Number 0 is used as the identity element. 2022-10-01, ∼446🔥, 0💬
What Are Standard Elliptic Curves
This section provides a list of standard elliptic curves selected and recommended by different organizations to generate secure EC private-pubic key pairs. 2022-10-01, ∼445🔥, 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, ∼442🔥, 0💬
Algebraic Solution for Point Doubling
This section provides an algebraic solution for calculating the addition operation of two points at the same location on an elliptic curve. 2022-10-01, ∼442🔥, 0💬
Niels Henrik Abel and Abelian Group
Abelian Groups are named after early 19th century mathematician Niels Henrik Abel. 2022-10-01, ∼441🔥, 0💬
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