TY - CHAP
T1 - Hidden field equations
AU - Ding, Jintai
AU - Petzoldt, Albrecht
AU - Schmidt, Dieter S.
N1 - Publisher Copyright:
© Springer Science+Business Media, LLC, part of Springer Nature 2020.
PY - 2020
Y1 - 2020
N2 - This chapter deals with the Hidden Field Equations (HFE) cryptosystem and its variants. We start by an introduction of the basic HFE cryptosystem and study its security against direct and rank attacks. Furthermore, we give an overview of the various HFE variants for encryption and digital signatures. In the area of encryption schemes we study here the IPHFE+ and the ZHFE schemes, while, in the area of signature schemes, we analyze the HFEv- signature scheme and its extension Gui, which produces the shortest signatures of all currently existing schemes.
AB - This chapter deals with the Hidden Field Equations (HFE) cryptosystem and its variants. We start by an introduction of the basic HFE cryptosystem and study its security against direct and rank attacks. Furthermore, we give an overview of the various HFE variants for encryption and digital signatures. In the area of encryption schemes we study here the IPHFE+ and the ZHFE schemes, while, in the area of signature schemes, we analyze the HFEv- signature scheme and its extension Gui, which produces the shortest signatures of all currently existing schemes.
UR - http://www.scopus.com/inward/record.url?scp=85091914877&partnerID=8YFLogxK
U2 - 10.1007/978-1-0716-0987-3_4
DO - 10.1007/978-1-0716-0987-3_4
M3 - Chapter
AN - SCOPUS:85091914877
T3 - Advances in Information Security
SP - 61
EP - 88
BT - Advances in Information Security
PB - Springer
ER -