Based on recent results on the challenges of identifiability in blind deconvolution and new methods for blind deconvolution with the knowledge of autocorrelation functions, a novel approach to secure communication over wireless channels is provided by using the Binary Modulation on Conjugated Zeros design. In particular, the blind deconvolution of a transmitted sequence via a finite impulse response channel is rendered impossible through the introduction of common zeros. A signal codebook design is provided as well as a decoding strategy with a shared secret autokey-cipher for the legitimate user. The probability of an eavesdropper guessing the correct key is computed and shown to converge to zero nearly exponentially with an increasing length of the key. Moreover, we study the identifiability probability of the zero codebook in the presents of additive noise.