English

Byzantine Distributed Function Computation

Information Theory 2025-03-11 v2 Cryptography and Security math.IT

Abstract

We study the distributed function computation problem with kk users of which at most ss may be controlled by an adversary and characterize the set of functions of the sources the decoder can reconstruct robustly in the following sense -- if the users behave honestly, the function is recovered with high probability (w.h.p.); if they behave adversarially, w.h.p, either one of the adversarial users will be identified or the function is recovered with vanishingly small distortion.

Keywords

Cite

@article{arxiv.2503.01522,
  title  = {Byzantine Distributed Function Computation},
  author = {Hari Krishnan P. Anilkumar and Neha Sangwan and Varun Narayanan and Vinod M. Prabhakaran},
  journal= {arXiv preprint arXiv:2503.01522},
  year   = {2025}
}