Sieving in Subsieve Range useing Micro Sieve

Predicting the Sieving Effort for the Number Field Sieve

CAIRN 2: An FPGA Implementation of the Sieving Step in the Number Field Sieve Method

The hardness of the integer factorization problem assures the security of some public-key cryptosystems including RSA, and the number field sieve method (NFS), the most efficient algorithm for factoring large integers currently, is a threat for such cryptosystems. Recently, dedicated factoring devices attract much attention since it might reduce the computing cost of the number field sieve meth...

Space Complexity Analysis of Sieving in the Number Field Sieve Integer Factorization

The general number sieve is the most efficient algorithm known integer factorization, it consists of polynomial selection, sieving, solving equations and finding square roots. In this paper, the p adic − evaluation provided by each root and the expected p − value are given, then we get the space complexity of sieving over the ring / 2 � � . Introduction In 1976, Diffie and Hellman published the...

Micro-Laser Range Finder

Laser range finders are a vital component of high precision targeting engagements. The precise and accurate range-to-target information is an essential variable in the fire control solution of today’s sophisticated weapons. This range information is readily provided by the laser range finder, however, current fielded laser range finders are bulky, heavy, difficult to mount onto weapons, eye haz...

Micro filtration Membrane Sieve with Silicon Micro Machining for Industrial and Biomedical Applications

With the use of silicon micromachining an inorganic membrane sieve for microfiltration is constructed, having a siliconnitride membrane layer with thickness typically 1 pm and perforations typically between 0.5 pm and 10 pm in diameter. As a support a -silicon wafer with openings of loo0 pm in diameter is used. The thin siliconnitride layer is deposited on an initial dense support by means...