Pec - an Alternate and More Efficient Public Key Cryptosystem
نویسنده
چکیده
In an increasingly connected world, security is a top concern for Internet of Things (IoT). These IoT devices have to be inexpensive implying that they will be constrained in storage and computing resources. In order to secure such devices, highly efficient public key cryptosystems (PKC) are critical. Elliptic Curve Cryptography (ECC) is the most commonly implemented PKC in use today. In this paper, an alternate and a more efficient PKC, called the PEC (Pells Equation Cryptography) has been proposed based on Pells equation: x−D ∗y ≡ 1 (mod p). It is shown that scalar multiplication in PEC is significantly more efficient compared to ECC. It is also shown that the Discrete Logarithm Problem computing the private key from the public key in PEC is at least as hard as that of ECC.
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 کاملImproving 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 کاملEEH: 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 کاملProvably secure and efficient identity-based key agreement protocol for independent PKGs using ECC
Key agreement protocols are essential for secure communications in open and distributed environments. Recently, identity-based key agreement protocols have been increasingly researched because of the simplicity of public key management. The basic idea behind an identity-based cryptosystem is that a public key is the identity (an arbitrary string) of a user, and the corresponding private key is ...
متن کاملTowards generating secure keys for braid cryptography
Braid cryptosystem was proposed in CRYPTO 2000 as an alternate public-key cryptosystem. The security of this system is based upon the conjugacy problem in braid groups. Since then, there have been several attempts to break the braid cryptosystem by solving the conjugacy problem in braid groups. In this paper, we first survey all the major attacks on the braid cryptosystem and conclude that the ...
متن کامل