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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, ∼370🔥, 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, ∼368🔥, 0💬

References
List of reference materials used in this book. 2022-10-01, ∼367🔥, 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, ∼362🔥, 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, ∼355🔥, 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 also provided. 2022-10-01, ∼355🔥, 0💬

Converting Elliptic Curve Groups
This section describes steps on how to convert real number elliptic curve groups to cyclic subgroups of integer elliptic curve groups. 2022-10-01, ∼354🔥, 0💬

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, ∼351🔥, 0💬

EC Curves Supported by Java
This section provides is a list of named curves that are supported or not supported by 'keytool' and Java default library. 2022-10-01, ∼350🔥, 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, ∼346🔥, 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, ∼332🔥, 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, ∼329🔥, 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, ∼328🔥, 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, ∼325🔥, 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, ∼318🔥, 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, ∼317🔥, 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, ∼313🔥, 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, ∼308🔥, 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, ∼308🔥, 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, ∼305🔥, 0💬

BlowfishJ - Java Implementation by Markus Hahn
This section describes BlowfishJ - Java implementation of Blowfish by Markus Hahn. 2022-08-24, ∼724🔥, 1💬

💬 2022-08-24 hiywot: please sent the source code of blowfish including initialization of p and s boxe

RSA Private Key and Public Key Pair Sample
This section provides a tutorial example on how to run JcaKeyPair.java to generate a RSA private key and public key pair sample. Keys are stored PKCS#8 and X.509 encoding formats. 2022-08-23, ∼5441🔥, 4💬

💬 2022-08-23 lol: meanning ful comments

💬 2019-03-31 Herong: Thong, if you lost access to your BTC wallet, or lost your BTC wallet, then you lost your BTC asset. There is no way to get it b...

💬 2019-03-29 Thong Ngo: Hi . I forgot the id wallet btc, is there any way to find the id wallet btc no? Thanks .

"OpenSSL" Viewing Certificates in DER and PEM
This section provides a tutorial example on how to use 'OpenSSL' to view certificates in DER and PEM formats generated by the 'keytool -exportcert' command. 2022-08-16, ≈72🔥, 8💬

💬 2022-08-16 Ken: Cool tutorial. Thank you!

💬 2019-10-05 Herong: Fatin, what are you getting from the output?

💬 2019-09-27 Fatin: Please help me, i cannot get it that way

💬 2017-05-27 Herong: Yes, asn1parse is a nice tool. I will add some examples later.

💬 2017-05-23 poshak: MIIC8DCCAIGgAwIBAgIJAM/+E5HIKoWGMAoG ...

(More comments ...)

EC Private and Public Key Pair
This section introduces what is EC (Elliptic Curve) key pair - a pair of private key and public key constructed from a given subgroup generator in a given elliptic curve group. 2022-07-11, ∼1476🔥, 2💬

💬 2022-07-10 ALIANY: IAJM PROGRAMER

💬 2020-11-07 abc: Ravana

<< < … 6 7 8 9 10 11 12 13 14 15 > >>   ∑:346  Sort:Rank

Android ASP Astrology Big5 Bitcoin Blowfish Built-in C# Calendar CD-DVD Cheminformatics Chinese Cryptography DES Email Encoding Ethereum Flash GB2312 General H Herong History HTML Java JavaScript JDBC JSP JVM Linux Molecule Movie Music MySQL Neural Network Perl PHP Physics PKI Publication Python REST SOAP Sorting Swing TV Series UML Unicode VBScript Web Web-Services Windows WSDL XML XMLPad XSD XSL-FO