An Algebraic Surface Cryptosystem
- Cite this paper as:
- Akiyama K., Goto Y., Miyake H. (2009) An Algebraic Surface Cryptosystem. In: Jarecki S., Tsudik G. (eds) Public Key Cryptography – PKC 2009. PKC 2009. Lecture Notes in Computer Science, vol 5443. Springer, Berlin, Heidelberg
We construct a public-key cryptosystem based on an NP-complete problem in algebraic geometry. It is a problem of finding sections on fibered algebraic surfaces; in other words, we use a solution to a system of multivariate equations of high degrees. Our cryptosystem is a revised version of the algebraic surface cryptosystem (ASC) we constructed earlier (cf. [AG04, AG06]). We revise its encryption algorithm to avoid known attacks. Further, we show that the key size of our cryptosystem is one of the shortest among those of post-quantum public-key cryptosystems known at present.