English

List decoding group homomorphisms between supersolvable groups

Information Theory 2014-04-17 v1 Computational Complexity math.IT

Abstract

We show that the set of homomorphisms between two supersolvable groups can be locally list decoded up to the minimum distance of the code, extending the results of Dinur et al who studied the case where the groups are abelian. Moreover, when specialized to the abelian case, our proof is more streamlined and gives a better constant in the exponent of the list size. The constant is improved from about 3.5 million to 105.

Cite

@article{arxiv.1404.4273,
  title  = {List decoding group homomorphisms between supersolvable groups},
  author = {Alan Guo and Madhu Sudan},
  journal= {arXiv preprint arXiv:1404.4273},
  year   = {2014}
}

Comments

11 pages

R2 v1 2026-06-22T03:52:19.616Z