Digital Sound Encryption with Logistic Map and Number Theoretic Transform

Digital sound security has limits on encrypting in Frequency Domain. Number Theoretic Transform based on field (GF 2⁵²¹ – 1) improve and solve that problem. The algorithm for this sound encryption is based on combination of Chaos function and Number Theoretic Transform. The Chaos function that used in this paper is Logistic Map. The trials and the simulations are conducted by using 5 different digital sound files data tester in Wave File Extension Format and simulated at least 100 times each. The key stream resulted is random with verified by 15 NIST's randomness test. The key space formed is very big which more than 10⁴⁶⁹. The processing speed of algorithm for encryption is slightly affected by Number Theoretic Transform. (paper)