Math -

Interest rate

Finance

Posted on November 24, 2020 | 5 minutes | 1063 words |

Compound interest is the eighth wonder of the world

He who understands it… earns it!
He who doesn't … pays it!

– Albert Einstein

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Algebraic structures: Set, Group, Ring

Math

Posted on November 11, 2020 | 5 minutes | 1009 words |

The easiest way to understand algebraic structures, starting with basic structure called Set and incrementally add properties on top of it to build more complex structures.

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math set group ring field algebra

BigO complexity with graphs

Math

Posted on June 4, 2020 | 4 minutes | 698 words |

Overview

Big-O notation or Big Omicron (e.g. Ο(n)) also called "asymptotic growth" notation is used to represent the worst-case scenario (the upper bound) for a given algorithm.

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math complexity algorithms bigo graph

Elliptic curves

Cryptography

Posted on September 25, 2019 | 5 minutes | 1030 words |

The easiest way to understand Elliptic Curve (EC), point addition, scalar multiplication and trapdoor function; explained with simple graphs and animations.

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cryptography elliptic-curve math sagemath python

Zero-knowledge proofs

Cryptography

Posted on August 26, 2019 | 7 minutes | 1481 words |

Zero-knowledge is a method to prove that you know a secret ``x`` (e.g. a password, private key, piece of knowledge, etc) without revealing that secret.

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cryptography zero-knowledge-proof math python zcash

Zero-knowledge proofs

Cryptography

Posted on August 26, 2019 | 7 minutes | 1416 words |

— layout: post title: "Zero-knowledge proofs" subtitle: Cryptography date: 2019-08-26 tags: ["cryptography", "zero-knowledge-proof", "math", "python", "zcash"] —

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cryptography zero-knowledge-proof python math

EC-Schnorr

Cryptography

Posted on June 25, 2019 | 4 minutes | 662 words |

Overview

EC-Schnorr, as the name suggests, is a Schnorr-type digital signature scheme over elliptic curve, it's ECDSA's little sister and Schnorr's big brother implemented in the upcoming MuSig in Bitcoin.

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cryptography schnorr ellipticcurve math python sagemath

Schnorr

Cryptography

Posted on June 19, 2019 | 3 minutes | 556 words |

Schnorr is another digital signature scheme known for its simplicity, no division, no inversion, just plain old multiplication. Here is my simple 16 lines implementation in Python.

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cryptography schnorr discrete-logarithm math sagemath

ECDSA

Cryptography

Posted on April 9, 2019 | 4 minutes | 818 words |

Elliptic curve cryptography (ECC) and digital signature algorithm (ECDSA) are more complex than RSA or ElGamal but I will try my best to hide the hairy math and the implementation details.

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ElGamal

Cryptography

Posted on March 26, 2019 | 4 minutes | 816 words |

ElGamal is a public key cryptosystem that is used in encryption , digital signature and homomorphic cryptography.

Here is my take in 12 lines of Python code:

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