On optimal weak algebraic manipulation detection codes and weighted external difference families
Combinatorics
2019-06-14 v2 Cryptography and Security
Information Theory
math.IT
Abstract
This paper provides a combinatorial characterization of weak algebraic manipulation detection (AMD) codes via a kind of generalized external difference families called bounded standard weighted external difference families (BSWEDFs). By means of this characterization, we improve a known lower bound on the maximum probability of successful tampering for the adversary's all possible strategies in weak AMD codes. We clarify the relationship between weak AMD codes and BSWEDFs with various properties. We also propose several explicit constructions for BSWEDFs, some of which can generate new optimal weak AMD codes.
Keywords
Cite
@article{arxiv.1905.01412,
title = {On optimal weak algebraic manipulation detection codes and weighted external difference families},
author = {Minfeng Shao and Ying Miao},
journal= {arXiv preprint arXiv:1905.01412},
year = {2019}
}