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Elliptic Curve Cryptography and Common Public Key Cryptography Implementations

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# crypto

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This repository covers cryptography algorithms, tutorials and python implementations.

## Public Key Cryptography

1- Diffie-Hellman Key Exchange [`Code`](https://github.com/serengil/crypto/blob/master/python/notebooks/Diffie-Hellman.ipynb), [`Tutorial`](https://sefiks.com/2023/05/30/magic-of-diffie-hellman-from-a-programmers-perspective/), [`Video`](https://youtu.be/VzzCDO-o2Fc)

2- Digital Signature Algorithm (DSA) [`Code`](https://github.com/serengil/crypto/blob/master/python/notebooks/DSA.ipynb), [`Tutorial`](https://sefiks.com/2023/06/14/digital-signature-algorithm-dsa-in-python-from-scratch/), `Video`

## Homomorphic Encryption

1- Multiplicatively Homomorphic RSA [`Code`](https://github.com/serengil/crypto/blob/master/python/homomorphic/RSA.ipynb), [`Tutorial`](https://sefiks.com/2023/03/06/a-step-by-step-partially-homomorphic-encryption-example-with-rsa-in-python/), [`Video`](https://youtu.be/PzKch8UQAmQ)

2- Multiplicatively or Additively Homomorphic ElGamal [`Code`](https://github.com/serengil/crypto/blob/master/python/homomorphic/ElGamal.ipynb), [`Tutorial`](https://sefiks.com/2023/03/27/a-step-by-step-partially-homomorphic-encryption-example-with-elgamal-in-python/), [`Video`](https://youtu.be/d-gK211N28U)

3- Additively Homomorphic Paillier [`Code`](https://github.com/serengil/crypto/blob/master/python/homomorphic/Paillier.ipynb), [`Tutorial`](https://sefiks.com/2023/04/03/a-step-by-step-partially-homomorphic-encryption-example-with-paillier-in-python/), [`Video`](https://youtu.be/Yerhc9B2zjQ), [`Video`](https://youtu.be/Yerhc9B2zjQ)

4- Additively Homomorphic Okamoto–Uchiyama [`Code`](https://github.com/serengil/crypto/blob/master/python/homomorphic/Okamoto%E2%80%93Uchiyama.ipynb), [`Tutorial`](https://sefiks.com/2023/10/20/a-step-by-step-partially-homomorphic-encryption-example-with-okamoto-uchiyama-in-python/), `Video`

5- Additively Homomorphic Benaloh [`Code`](https://github.com/serengil/crypto/blob/master/python/homomorphic/Benaloh.ipynb), [`Tutorial`](https://sefiks.com/2023/10/06/a-step-by-step-partially-homomorphic-encryption-example-with-benaloh-in-python-from-scratch/), `Video`

6- Additively Homomorphic Damgard-Jurik [`Code`](https://github.com/serengil/crypto/blob/master/python/homomorphic/Damgard-Jurik.ipynb), [`Tutorial`](https://sefiks.com/2023/10/20/a-step-by-step-partially-homomorphic-encryption-example-with-damgard-jurik-in-python/), `Video`

7- Additively Homomorphic Naccache–Stern [`Code`](https://github.com/serengil/crypto/blob/master/python/homomorphic/Naccache%E2%80%93Stern.ipynb), [`Tutorial`](https://sefiks.com/2023/10/26/a-step-by-step-partially-homomorphic-encryption-example-with-naccache-stern-in-python/), `Video`

8- Additively Homomorphic Elliptic Curve ElGamal [`Code`](https://github.com/serengil/crypto/blob/master/python/notebooks/EC-ElGamal.ipynb), [`Tutorial`](https://sefiks.com/2018/08/21/elliptic-curve-elgamal-encryption/), [`Video`](https://youtu.be/062ilU5dOzY)

9- Exclusively Homomorphic Goldwasser–Micali [`Code`](https://github.com/serengil/crypto/blob/master/python/homomorphic/Goldwasser%E2%80%93Micali.ipynb), [`Tutorial`](https://sefiks.com/2023/10/27/a-step-by-step-partially-homomorphic-encryption-example-with-goldwasser-micali-in-python/), `Video`

## Elliptic Curve Cryptography Theory

1- Elliptic Curves in Weierstrass Form [`Tutorial`](https://sefiks.com/2016/03/13/the-math-behind-elliptic-curve-cryptography/), [`Video`](https://youtu.be/iydGkrjJkSM)

2- Elliptic Curves in Koblitz Form [`Tutorial`](https://sefiks.com/2016/03/13/the-math-behind-elliptic-curves-over-binary-field/), [`Video`](https://youtu.be/g8ePU5U5oP8)

3- Edwards Curves [`Tutorial`](https://sefiks.com/2018/12/19/a-gentle-introduction-to-edwards-curves/), [`Video`](https://youtu.be/Yn1kD1rNmns)

4- Twisted Edwards Curves [`Tutorial`](https://sefiks.com/2018/12/26/twisted-edwards-curves/), `Video`

5- Double and Add Method [`Tutorial`](https://sefiks.com/2016/03/27/double-and-add-method/), `Video`

## Elliptic Curve Cryptography Implementations

1- Elliptic Curve Diffie-Hellman Key Exchange (ECDH) [`Code`](https://github.com/serengil/crypto/blob/master/python/notebooks/ECDH.ipynb), [`Tutorial`](https://sefiks.com/2016/04/11/key-exchange-from-carrying-handcuffed-briefcases-to-modern-cryptosystems/), [`Video`](https://youtu.be/445Opx6U3Co)

2- Elliptic Curve Digital Signature Algorithm (ECDSA) [`Code`](https://github.com/serengil/crypto/blob/master/python/notebooks/ECDSA.ipynb), [`Tutorial`](https://sefiks.com/2018/02/16/elegant-signatures-with-elliptic-curve-cryptography/), [`Video`](https://youtu.be/Br8o9KnyPJI)

3- Edwards Curve Digital Signature Algorithn (EdDSA) [`Code`](https://github.com/serengil/crypto/blob/master/python/notebooks/EdDSA.ipynb), [`Tutorial`](https://sefiks.com/2018/12/24/a-gentle-introduction-to-edwards-curve-digital-signature-algorithm-eddsa/), [`Video`](https://youtu.be/8TnRzFt3-K0)

4- Elliptic Curve ElGamal Asymmetric Encryption [`Code`](https://github.com/serengil/crypto/blob/master/python/notebooks/EC-ElGamal.ipynb), [`Tutorial`](https://sefiks.com/2018/08/21/elliptic-curve-elgamal-encryption/), [`Video`](https://youtu.be/062ilU5dOzY)

5- Elliptic Curve Integrated Encryption Scheme (ECIES) [`Code`](https://github.com/serengil/crypto/blob/master/python/notebooks/ECIES.ipynb), [`Tutorial`](https://sefiks.com/2023/04/27/elliptic-curve-integrated-encryption-scheme-in-python/), [`Video`](https://youtu.be/0hTFoVOeJi0)

6- Elliptic Curve Menezes-Qu-Vanstone (ECMQV) [`Code`](https://github.com/serengil/crypto/blob/master/python/notebooks/ECMQV.ipynb), [`Tutorial`](https://sefiks.com/2023/05/29/elliptic-curve-menezes-qu-vanstone-in-python-from-scratch/), [`Video`](https://youtu.be/JKlTdY07IY4)

7- Elliptic Curve Korean Certificate-based Digital Signature Algorithm (EC-KCDSA) [`Code`](https://github.com/serengil/crypto/blob/master/python/notebooks/EC-KCDSA.ipynb), [`Tutorial`](https://sefiks.com/2023/06/09/elliptic-curve-kcdsa-in-python-from-scratch/), `Video`

8- Bitcoin Address Generation [`Code`](https://github.com/serengil/crypto/blob/master/python/Bitcoin.py), [`Tutorial`](https://sefiks.com/2018/03/26/a-step-by-step-bitcoin-address-example/), [`Video`](https://youtu.be/3n93_yiWH0I)

## Historical Cryptography

1- Caesar Cipher [`Code`](https://github.com/serengil/crypto/blob/master/python/classical/Caesar.ipynb)

2- Substitution Cipher [`Code`](https://github.com/serengil/crypto/blob/master/python/classical/Substitution.ipynb)

3- Affine Cipher [`Code`](https://github.com/serengil/crypto/blob/master/python/classical/Affine.ipynb)

4- Homophonic Substitution Cipher [`Code`](https://github.com/serengil/crypto/blob/master/python/classical/Homophonic.ipynb)

5- Permutation Cipher [`Code`](https://github.com/serengil/crypto/blob/master/python/classical/Permutation.ipynb)

6- Hill Cipher [`Code`](https://github.com/serengil/crypto/blob/master/python/classical/Hill.ipynb), [`Tutorial`](https://sefiks.com/2018/12/04/a-step-by-step-hill-cipher-example/)

7- Vigénere Cipher [`Code`](https://github.com/serengil/crypto/blob/master/python/classical/Vigenere.ipynb)

8- Kasiski Examination [`Code`](https://github.com/serengil/crypto/blob/master/python/classical/Kasiski.ipynb)

9- Enigma Machine [`Video`](https://youtu.be/XPd8LCxwrsc)

# Support

There are many ways to support a project - starring⭐ the GitHub repos is one.

You can also enroll one of my courses published on Udemy to support: [`Public Key Cryptography From Scratch In Python`](https://www.udemy.com/course/public-key-cryptography-from-scratch-in-python/?referralCode=8AF2BB504D810A4C99CB), [`Cryptography Basics From Scratch In Python`](https://www.udemy.com/course/cryptography-basics-from-scratch-in-python/?referralCode=0B65C57251E2674FAC2C), [`Elliptic Curve Cryptography Masterclass In Java`](https://www.udemy.com/course/elliptic-curve-cryptography-masterclass/?referralCode=C5E74D486DD29F6DAF4A).

You can support this work on [Patreon](https://www.patreon.com/serengil?repo=crypto) or [GitHub Sponsors](https://github.com/sponsors/serengil).

# License

This repository is licensed under MIT license - see [`LICENSE`](https://github.com/serengil/crypto/blob/master/LICENSE) for more details

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