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RSA Group Assumption

Definition ∞ The RSA Group Assumption is a fundamental cryptographic assumption stating that certain mathematical problems related to the RSA modulus are computationally difficult to solve. Specifically, it asserts the hardness of computing high-order roots modulo a large composite number N, which is the product of two large prime numbers. This assumption underpins the security of many cryptographic schemes.
Context ∞ The RSA Group Assumption is a bedrock for the security of several cryptographic primitives, including some Verifiable Delay Functions (VDFs). Its presumed hardness ensures that VDF computations take a verifiable amount of sequential time. However, concerns about the potential for quantum computers to break RSA highlight the ongoing need for quantum-resistant cryptographic alternatives in digital asset security.

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Dynamic Universal Accumulators Achieve Constant-Time Set Verification at Scale

Research introduces a Dynamic Universal Accumulator that compresses massive data sets into a constant-size cryptographic proof, enabling efficient, constant-time verification for scalable systems.