Hiding Data - Selected Topics

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This volume focuses on information security, starting with a brief course on cryptography, based on lectures by Rudolf Ahlswede at the University of Bielefeld in the mid-1990s. It continues from his introductory course on basic coding theorems presented in the first volume. The text details Shannon’s foundational work on secrecy systems and introduces an information-theoretic model of wiretap channels, along with key concepts like homophonic coding and authentication. Following the theoretical discussions, it provides comprehensive technical details of AES and includes a brief history of public-key cryptology, covering RSA and El Gamal cryptosystems, as well as the basic theory of elliptic curves and efficient addition algorithms. The significant topic of “oblivious transfer,” related to privacy in communication, is also explored, highlighting its growing importance in today's context. This is the third volume in a series documenting Ahlswede’s lectures on information theory, featuring insights from invited experts, including Rüdiger Reischuk. The content is aimed at graduate students in Mathematics and those in Theoretical Computer Science, Physics, and Electrical Engineering with a basic Mathematics background. It serves as a foundation for courses or supplementary material, presenting research problems and conjectures suitable for Ph.D. students and advanced researchers seeking new avenues for exploration.