A Novel Dynamic Mathematical Model Applied in Hash Function Based on DNA Algorithm and Chaotic Maps

This paper aims to improve SHA-512 security without increasing complexity; therefore, we focused on hash functions depending DNA sequences and chaotic maps. After analysis of 45 various map types, only 5 types are selected in this proposal—namely, improved logistic, cosine logistic map, sine system, tent hybrid. Using features binary coding technology with complementary rules hide information is a key challenge. article proposes improving two aspects: the modification original buffer values, additive constants Kt. proposal make values (a, b, c, d, e, f, g, h) Kt dependent one-dimensional discrete maps instead constant. complicates relationship between message value, making it unexpected. The performance proposed function tested analyzed confusion, diffusion, distributive compared SHA-512. by collision analysis, for which maximum number hits three, showing that enhances robustness statistical data experimental indicate scheme has good properties satisfies high-performance requirements secure functions.