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Channel polarization, originally proposed for binary-input channels, is generalized to arbitrary discrete memoryless channels. Specifically, it is shown that when the input alphabet size is a prime number, a similar construction to that for the binary case leads to polarization. This method can be extended to channels of composite input alphabet sizes by decomposing such channels into a set of channels...
The purpose of this paper is to introduce a new information theory and explore its appplications. Using modern computational complexity, we study the notion of information that can be accessed through a feasible computation. In Part 1 of this paper, we lay the foundation of the theory and set up a framework for cryptography and pseudorandom number generation. In Part 2, we study the concept of trapdoor...
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