Random sequence construction represents fundamental components of modern cryptographic systems. The quantitative assessment of randomness relies upon rigorous statistical testing methodologies, establishing statistical randomness evaluation as a critical prerequisite for cryptographic algorithm security validation. Concurrently, data compression technologies have emerged as essential enablers of efficient information transmission within contemporary digital communication infrastructures. This research investigates statistical testing frameworks in cryptographic applications, with particular emphasis on compression-based evaluation methods, notably the Lempel-Ziv complexity test. We present empirical findings from our analysis of a novel bit-level pattern recognition algorithm, validated against data sequences generated through the Advanced Encryption Standard (AES). Furthermore, we introduce a compression methodology derived from this bit-level pattern detection approach, demonstrating its potential applications in cryptographic randomness assessment.