Our multidimensional space reconstruction method is based on information theory and algorithmic probability so that it is proven to be agnostic vis-a-vis the arbitrarily chosen encoding-decoding scheme, computable or semi-computable method of approximation to algorithmic complexity, and computational model. The results presented in this paper are useful for applications in coding theory, particularly in zero-knowledge one-way communication channels, such as in deciphering messages from unknown generating sources about which no prior knowledge is available and to which no return message can be sent. The method has the potential to be of great value in cryptography, signal processing, causal deconvolution, life, and technosignature detection.