English

The binary Gold function and its c-boomerang connectivity table

Number Theory 2022-04-28 v2

Abstract

Here, we give a complete description of the c-Boomerang Connectivity Table for the Gold function over finite fields of even characteristic, by using double Weil sums. In the process we generalize a result of Boura and Canteaut (IACR Trans. Symmetric Cryptol. 2018(3) : 290-310, 2018) for the classical boomerang uniformity.

Cite

@article{arxiv.2009.09340,
  title  = {The binary Gold function and its c-boomerang connectivity table},
  author = {Sartaj Ul Hasan and Mohit Pal and Pantelimon Stanica},
  journal= {arXiv preprint arXiv:2009.09340},
  year   = {2022}
}

Comments

20 pages

R2 v1 2026-06-23T18:39:58.715Z