Sapienza Università di Roma • M.Sc. in Cybersecurity

Tommaso Cenciotti

Interactive laboratory and statistical explorations of cryptographic primitives, stochastic processes, and probability models in cybersecurity.

Course: Statistics in Cybersecurity Completed: 3 Homeworks • 4 Modules A.Y. 2026 / 2027

Coursework & Interactive Simulations

Select an active module to launch the simulation and report
HMWK 01 • EX 01 Completed

Exercise 1: Public-Key Cryptography — Private Key → Public Key in Ethereum

Interactive visualization of elliptic-curve scalar multiplication (Q = kG) on the finite field toy curve y² ≡ x³ + 7 (mod 17). Includes statistical analysis of coordinate uniformity, bit distribution, and avalanche behavior.

secp256k1 ECDLP GF(17) One-Way vs Hash
HMWK 01 • EX 02 Completed

Exercise 2: From Wallet Seed to Ethereum Address: Pipeline & Primitives

End-to-end cryptographic exploration of Ethereum HD wallets: entropy encoding, PBKDF2 stretching, hierarchical key derivation, elliptic-curve keypairs, sponge hashing, and mixed-case error detection.

BIP-39 / 32 / 44 secp256k1 Keccak-256 vs SHA-3 EIP-55
HMWK 02 Completed

Cryptographic Primitives, Caesar Cipher & Statistical Cryptanalysis

Comparative study of toy ECC encryption (EC-ElGamal over GF(17)), the classical Caesar cipher, automated Chi-squared statistical cryptanalysis across different text lengths, and Baby-Step Giant-Step key recovery on restricted key spaces.

EC-ElGamal Chi-Squared BSGS Attack Frequency Analysis
HMWK 03 Completed

Stochastic Penetration Processes: LLN, Variance Scaling & CLT

Monte Carlo simulation of n systems and m attackers under Bernoulli and Rademacher increment models. Explores total score Sₙ, Law of Large Numbers convergence of Sₙ/n, and Central Limit Theorem normality of Sₙ/√n.

Bernoulli & Rademacher Law of Large Numbers Central Limit Theorem Monte Carlo
HMWK 04

Assignment 04

Upcoming module. The simulation and statistical exploration will be published upon release of the weekly specification.

Scheduled
HMWK 05

Assignment 05

Upcoming module. The simulation and statistical exploration will be published upon release of the weekly specification.

Scheduled