Membership

Cryptanalysis for pentesters (W39)

Build the mathematical and analytical foundation for cryptanalysis. Move from algebra and number theory through classical cryptosystems, digital signatures, and modern cryptographic algorithms, with worked exercises along the way.

Instructor · Washington Umpierres de Almeida Junior

Modules:
6
Lessons:
45

PentestMag learning

Practical skills.
Verified progress.

What you'll learn

  • Apply number theory concepts used in cryptography.
  • Analyze classical cryptosystems.
  • Explain digital signatures and cryptographic techniques.
  • Evaluate properties of modern cryptographic algorithms.

Prerequisites

Comfort with basic algebra is useful. The course includes supporting mathematics material before the cryptographic topics.

Module 2

Module 1 Part 1 - Algebra and Number Theory

  1. 1. (W39M002) Algebra and Number Theory - Basic Notions - Video Lecture

  2. 2. (W39M005) Algebra and Number Theory - Solving ax + bx = d - Video Lecture

  3. 3. (W39M009) Algebra and Number Theory - Congruences - Video Lecture

  4. 4. (W39M012) Algebra and Number Theory – The Chinese Remainder Theorem - Video Lecture

  5. 5. (W39M015) Algebra and Number Theory – Modular Exponentiation - Video Lecture

  6. 6. (W39M018) Algebra and Number Theory – Fermat and Euler - Video Lecture

  7. 7. (W39M021) Algebra and Number Theory – Primitive Roots - Video Lecture

  8. 8. (W39M024) Algebra and Number Theory – Inverting matrices mod n - Video Lecture

  9. 9. (W39M027) Algebra and Number Theory – Square roots mod n - Video Lecture

  10. 10. (W39M030) Algebra and Number Theory – Finite fields - Video Lecture 1

  11. 11. (W39M031) Algebra and Number Theory – Finite fields - Video Lecture 2

Assessments

Assignment Required

(W39M01A01) Algebra and Number Theory - Basic Notions - Exercises

Assignment Required

(W39M01A02) Algebra and Number Theory - Solving ax + bx = d - Exercises

Assignment Required

(W39M01A03) Algebra and Number Theory - Congruences - Exercises

Assignment Required

(W39M01A04) Algebra and Number Theory – The Chinese Remainder Theorem - Exercise

Assignment Required

(W39M01A05) Algebra and Number Theory – Modular Exponentiation - Exercises

Assignment Required

(W39M01A06) Algebra and Number Theory – Fermat and Euler - Exercise

Assignment Required

(W39M01A07) Algebra and Number Theory – Primitive Roots - Exercises

Assignment Required

(W39M01A08) Algebra and Number Theory – Inverting matrices mod n - Exercises

Assignment Required

(W39M01A09) Algebra and Number Theory – Square roots mod n - Exercises

Assignment Required

(W39M01A10) Algebra and Number Theory – Finite fields - Exercises

Assignment Required

(W39M01A11) Algebra and Number Theory – Challenges

Module 3

Module 1 Part 2: Classical Cryptosystems

  1. 1. (W39M034) Classical Cryptosystems - Shift Cypher

  2. 2. (W39M035) Classical Cryptosystems - Affine Cyphers

  3. 3. (W39M036) Classical Cryptosystems - Vigenère Cipher

  4. 4. (W39M038) Classical Cryptosystems: Substitution Ciphers

  5. 5. (W39M039) Classical Cryptosystems: Block Ciphers

Assessments

Assignment Required

(W39M01A12) Classical Cryptosystems - Exercises

Assignment Required

(W39M01A13) Classical Cryptosystems: Block Ciphers - Exercises

Assignment Required

(W39M01A14) Classical Cryptosystems: Challenges and fixing exercises

Module 4

Module 2: Cryptographic Techniques and Digital Signatures

  1. 1. (W39M042) Cryptographic Techniques and Digital Signatures - Hash Functions Part 1

  2. 2. (W39M043) Cryptographic Techniques and Digital Signatures - Hash Functions Part 2

  3. 3. (W39M045) Cryptographic Techniques and Digital Signatures - Digital Signatures

  4. 4. (W39M046) Cryptographic Techniques and Digital Signatures - Entropy

  5. 5. (W39M047) Cryptographic Techniques and Digital Signatures - Entropy Practice

  6. 6. (W39M048) Cryptographic Techniques and Digital Signatures - Huffman Code

  7. 7. (W39M049) Cryptographic Techniques and Digital Signatures - Huffman Code Practice

  8. 8. (W39M050) Cryptographic Techniques and Digital Signatures - Diffie-Hellman Key Exchange

  9. 9. (W39M051) Cryptographic Techniques and Digital Signatures - Diffie-Hellman Key Exchange Practice

  10. 10. (W39M052) Cryptographic Techniques and Digital Signatures - Public Key Infrastructure

  11. 11. (W39M053) Cryptographic Techniques and Digital Signatures - Public Key Infrastructure Practice

Assessments

Assignment Required

(W39M02A01) Cryptographic Techniques and Digital Signatures - Hash Function Exercises

Assignment Required

(W39M02A02) Cryptographic Techniques and Digital Signatures - Digital Signatures Exercises

Assignment Required

(W39M02A03) Module 2 Challenges

Module 5

Module 3: Cryptographic Algorithms

  1. 1. (W39M055) Cryptographic Algorithms: Data Encryption Standard - Part 1

  2. 2. (W39M056) Cryptographic Algorithms: Data Encryption Standard - Part 2

  3. 3. (W39M056) Cryptographic Algorithms: Data Encryption Standard - Part 2

  4. 4. (W39M058) Cryptographic Algorithms: RSA - Part 1

  5. 5. (W39M059) Cryptographic Algorithms: RSA - Part 2

  6. 6. (W39M061) Cryptographic Algorithms: Advanced Encryption Standard - Part 1

  7. 7. (W39M062) Cryptographic Algorithms: Advanced Encryption Standard - Part 2

  8. 8. (W39M063) Cryptographic Algorithms: Advanced Encryption Standard - Part 3

  9. 9. (W39M064) Cryptographic Algorithms: Advanced Encryption Standard - Part 4

Assessments

Assignment Required

(W39M03A01) Cryptographic Algorithms: Data Encryption Standard - Exercises

Assignment Required

(W39M03A02) Cryptographic Algorithms: RSA - Exercises

Assignment Required

(W39M03A03) Cryptographic Algorithms: Advanced Encryption Standard - Exercises

Assignment Required

(W39M03A04) Module 3 Challenges

Module 7

Final exam

Lessons will appear here after course content is added.

Assessments

Quiz Required

(W39Q01) Final Exam

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