Sieve Method for Polynomial Linear Equivalence

Joint Authors

Wang, Baocang
Hu, Yupu

Source

Journal of Applied Mathematics

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-12-10

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

We consider the polynomial linear equivalence (PLE) problem arising from the multivariate public key cryptography, which is defined as to find an invertible linear transformation ℒ satisfying ?=?∘ℒ for given nonlinear polynomial maps ? and ? over a finite field ?q.

Some cryptographic and algebraic properties of PLE are discussed, and from the properties we derive three sieves called multiplicative, differential, and additive sieves.

By combining the three sieves, we propose a sieve method for the PLE problem.

As an application of our sieve method, we show that it is infeasible to construct public key encryption schemes from the PLE problem.

American Psychological Association (APA)

Wang, Baocang& Hu, Yupu. 2013. Sieve Method for Polynomial Linear Equivalence. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-505160

Modern Language Association (MLA)

Wang, Baocang& Hu, Yupu. Sieve Method for Polynomial Linear Equivalence. Journal of Applied Mathematics No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-505160

American Medical Association (AMA)

Wang, Baocang& Hu, Yupu. Sieve Method for Polynomial Linear Equivalence. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-505160

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-505160