All 7 posts in chronological order
A comprehensive guide to Fast Fourier Transform principles, implementation, and real-world applications in audio processing, image compression, and communication systems
Learn about the reduced residue system and why it's essential for RSA encryption, Euler's theorem, and multiplicative groups in cryptography
Learn the fundamentals of modular arithmetic and understand why it's essential for modern cryptographic systems including RSA, ECC, and digital signatures
Understanding Kerckhoffs's Principle and why modern cryptographic systems must remain secure even when the algorithm is publicly known
Understanding the differences between term and match_phrase queries in Elasticsearch, their use cases, and performance implications
Learn about the three essential security properties of cryptographic hash functions: preimage resistance, second preimage resistance, and collision resistance
Learn how to calculate large exponents modulo a prime number using the Extended Euclidean Algorithm and modular arithmetic.
