We construct a zero-knowledge proof of knowledge for the CSIDH group action that exploits the Chinese Remainder Theorem (CRT) structure of the ideal class group, available whenever the group structure is known exactly, as for CSIDH-512. We prove perfect completeness, perfect special honest-verifier zero-knowledge, and...
Heterogeneous 6G radio access networks (RANs) must allocate resources reliably under interference, latency limits, imperfect channel state information (CSI), and architectural diversity. We propose a degeneracy-aware resource allocation (DG-RA) framework that casts multi-architecture orchestration as a probabilistic ga...
A novel framework based on Koopman operator theory is developed and validates its theoretical guarantees on multi-agent consensus dynamics, making spectral certification a practical layer for trustworthy collective reasoning.
It is proved that the induced squared-norm estimator is unbiased up to a term decaying geometrically with a sampling gap, and that its variance is a constant $V_0/m$ that is dimension-free in experiment and, under one stated concentration hypothesis, in theory.
I. Dey, I. Cherkaoui· 0 citations
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