Function Composition from Sine Function and Skew Tent Map and Its Application to Pseudorandom Number Generators

In cryptography, the pseudorandom number sequences must have random appearance to be used in secure information systems. The skew tent map (STM) is an attractive produce due its easy implementation and absence of stability islands when it chaotic behavior. Using STM sine function, we propose analyze a function composition generator (PRNG). analysis composition, use bifurcation diagram Lyapunov exponent perform behavioral comparison against STM. We show that proposed more sensitive initial conditions than STM, then better option for cryptography applications. For determine avoid chaos annulling traps. PRNG can configured generate numbers 8, 16 or 32 bits implemented on microcontrollers with different architectures. evaluate pseudorandomness using NIST SP 800-22 TestU01 suites. Additionally, quality, apply tests such as correlation coefficient, key sensitivity, statistical entropy analysis, space, linear complexity, speed. Finally, performed similar PRNGs considering 8 bits. results maintains security regardless selected configuration. has five important features: implementation, configurable bits, high processing speed, wide space. These features are necessary cryptographic