English

On Hidden Sums Compatible with A Given Block Cipher Diffusion Layer

Group Theory 2018-10-04 v2

Abstract

Sometimes it is possible to embed an algebraic trapdoor into a block cipher. Building on previous research, in this paper we investigate an especially dangerous algebraic structure, which is called a hidden sum and which is related to some regular subgroups of the affine group. Mixing group theory arguments and cryptographic tools, we pass from characterizing our hidden sums to designing an efficient algorithm to perform the necessary preprocessing for the exploitation of the trapdoor.

Keywords

Cite

@article{arxiv.1702.08384,
  title  = {On Hidden Sums Compatible with A Given Block Cipher Diffusion Layer},
  author = {Carlo Brunetta and Marco Calderini and Massimiliano Sala},
  journal= {arXiv preprint arXiv:1702.08384},
  year   = {2018}
}

Comments

arXiv admin note: text overlap with arXiv:1702.00581

R2 v1 2026-06-22T18:29:40.098Z