Recently, experiments have demonstrated that simple binary arithmetic and logical
operations can be computed by the process of self-assembly of DNA tiles. In this paper, we …

The science of DNA nanotechnology has led to the synthesis of size-controllable materials
with uniformed geometries at nano-and micro-scales. Herein, we proposed the double …

Abstract A Galois field GF (pn) with p≥ 2 a prime number and n≥ 1 is a mathematical
structure widely used in Cryptography and Error Correcting Codes Theory. In this paper, we …

Two major advantages of DNA computing–huge memory capacity and high parallelism–are
being explored for large-scale parallel computing, mass data storage and cryptography. Tile …

The tile assembly model is a highly distributed parallel model of molecular computation.
Plenty of experiments have proved that the simple binary arithmetic could be fulfilled by the …

Point-multiplication is the fundamental operation to construct discrete logarithm, the
intractability of which ensures the security of mathematical curves cryptography. This paper …

The enormous parallel computing ability and high memory density of DNA computing bring
potential challenges and opportunities to traditional cryptography. Finite field GF (2 n) is one …

With the rapid development of DNA computing, there are some questions worth study that
how to implement the arithmetic operations used in cryptosystem based on DNA computing …

This paper proposes a DNA computing model to calculate both inversion and division over
finite field GF (2^ n). It is designed based on the previous works by combining modular …

Tile assembly model is a formal model of DNA computing, which uses DNA, biochemistry
and molecular biology instead of the traditional silicon-based computer technologies. DNA …