An information theoretic bound represents the fundamental limit on the performance of a system or process, dictated solely by the principles of information theory, independent of computational resources. It establishes the theoretical maximum or minimum achievable value for a given task, such as data compression or secure communication, assuming unlimited processing power. This bound signifies what is theoretically possible, setting a benchmark against which practical systems are measured. It provides a theoretical ceiling on system efficiency and security.
Context
In cryptography and blockchain security, information theoretic bounds are critical for assessing the ultimate security of protocols against adversaries with unlimited computational power. News in this domain often refers to these bounds when discussing the long-term viability of cryptographic primitives against future technological advancements. Researchers continuously strive to design protocols that approach these theoretical limits. Understanding these bounds is essential for evaluating the enduring robustness of decentralized systems.
A novel vector commitment scheme achieves sublinear update complexity, fundamentally reducing the overhead for light clients to maintain and verify global blockchain state.
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