@misc{10481/84648, year = {2023}, month = {8}, url = {https://hdl.handle.net/10481/84648}, abstract = {A class of linear codes that extends classical Goppa codes to a non-commutative context is defined. An efficient decoding algorithm, based on the solution of a non-commutative key equation, is designed. We show how the parameters of these codes, when the alphabet is a finite field, may be adjusted to propose a McEliece-type cryptosystem.}, organization = {IMAG-Maria de Maeztu grant PID2019-110525GB-I00 / AEI / 10.13039/501100011033}, organization = {CEX2020-001105-M / AEI / 10.13039/501100011033}, organization = {Universidad de Granada/CBUA}, publisher = {Springer Nature}, keywords = {Skew-differential Goppa code}, keywords = {Decoding algorithm}, keywords = {McEliece-type cryptosystem}, title = {Skew differential Goppa codes and their application to Mceliece cryptosystem}, doi = {10.1007/s10623-023-01286-6}, author = {Gómez Torrecillas, José and Lobillo Borrero, Francisco Javier and Navarro Garulo, Gabriel}, }