Public-key cryptosystem based on invariants of diagonalizable groups

نویسندگان

  • Martin Jurás
  • Frantisek Marko
  • Alexandr N. Zubkov
چکیده

We develop a public key cryptosystem based on invariants of diagonalizable groups. Theoretical results about degrees of invariants, which are related to the security of such cryptosystem, are derived. Further, we derive results on invariants of superanalogs of tori.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

QTRU: quaternionic version of the NTRU public-key cryptosystems

In this paper we will construct a lattice-based public-key cryptosystem using non-commutative quaternion algebra, and since its lattice does not fully fit within Circular and Convolutional Modular Lattice (CCML), we prove it is arguably more secure than the existing lattice-based cryptosystems such as NTRU. As in NTRU, the proposed public-key cryptosystem relies for its inherent securi...

متن کامل

EEH: AGGH-like public key cryptosystem over the eisenstein integers using polynomial representations

GGH class of public-key cryptosystems relies on computational problems based on the closest vector problem (CVP) in lattices for their security. The subject of lattice based cryptography is very active and there have recently been new ideas that revolutionized the field. We present EEH, a GGH-Like public key cryptosystem based on the Eisenstein integers Z [ζ3] where ζ3 is a primitive...

متن کامل

Public-key cryptography and invariant theory

Public-key cryptosystems are suggested based on invariants of groups. We give also an overview of known cryptosystems which involve groups.

متن کامل

Improving the Rao-Nam secret key cryptosystem using regular EDF-QC-LDPC codes

This paper proposes an efficient joint secret key encryption-channel coding cryptosystem, based on regular Extended Difference Family Quasi-Cyclic Low-Density Parity-Check codes. The key length of the proposed cryptosystem decreases up to 85 percent using a new efficient compression algorithm. Cryptanalytic methods show that the improved cryptosystem has a significant security advantage over Ra...

متن کامل

Homomorphic public-key cryptosystems over groups and rings

We propose a new homomorphic public-key cryptosystem over arbitrary nonidentity nite group based on the di culty of the membership problem for groups of integer matrices. Besides, a homomorphic cryptosystem is designed for the rst time over nite commutative rings.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:
  • Groups Complexity Cryptology

دوره 9  شماره 

صفحات  -

تاریخ انتشار 2017