%0 Journal Article %T Gaussian elimination in unitary groups with an application to cryptography %A Ayan Mahalanobis %A Anupam Singh %J Computer Science %D 2014 %I arXiv %X Gaussian elimination is used in special linear groups to solve the word problem. In this paper, we extend Gaussian elimination to unitary groups. These algorithms have an application in building a public-key cryptosystem, we demonstrate that. %U http://arxiv.org/abs/1409.6136v2