%0 Journal Article %T Justification of Montgomery Modular Reduction %A Salem Sherif Elfard %J International Journal of Software Engineering & Applications %D 2012 %I Academy & Industry Research Collaboration Center (AIRCC) %X one of the most known and widely used methods in Cryptography is the method suggested byPeter Montgomery; this method is based on the changing of the original reduction modulo by some otherconvenient modulo, the original Montgomery paper gives the algorithm without any considerationsleading to that algorithm. %K Cryptography %K Montgomery Algorithm %K modulo reduction %K convenient modulo %K multiple precision %U http://airccse.org/journal/acij/papers/3512acij10.pdf