In this paper, we present a proposed technique for imageencryption that is based on a marriage between Rubik’s cube (puzzle method) and a chaotic algorithm with its different modes (CBC, CFB, and OFB). The OFDM system will be tested with its versions (Fast Fourier transform OFDM (FFT-OFDM), Discrete Cosine Transform OFDM (DCT-OFDM), and Discrete Wavelet Transform OFDM (DWT-OFDM)). A comparative study among mixed encryption algorithms with images transmitted via different OFDM versions is presented. In the simulation experiments, the Peak Signal-to-Noise Ratio (PSNR) of the decrypted image at the receiver, histogram, deviation, and bit error rate (BER) sensitivity are used as evaluation metrics for the decrypted image qualit