Thomas Jefferson’s first draft of the Declaration of Independence read: “We hold these truths to be sacred and undeniable . . . ” It was supposedly Benjamin Franklin who suggested instead announcing ...

PoW is more decentralized and secure, while PoS is more energy-efficient, cost-efficient, scalable, accessible, and environment-friendly. In PoW, the nodes creating new blocks are called miners, ...

ABSTRACT: 1) Fermat has proved that x 4 + y 4 = z 2 has no positive integer solution, and in 2011, J. Cullen [1] reported that x,y∈{ 0,1,⋯, 10 7 } , x 4 + y 4 +1 is not a square greater than 1, and ...

This program offers a C++ solution to compute the Greatest Common Divisor (GCD) of two strings, showcasing an application of the Euclidean algorithm for string manipulation.

My solutions to Google's Foobar Challenge for coding data structures and algorithms. Includes my solution code, unit tests, background notes, design notes, and references.

Abstract: In this paper, we explain the importance and applications of the Greatest Common Divisor(GCD) in the field of security. GCD of two numbers is the greatest divisor that ultimately divides ...

ABSTRACT: There are settings where encryption must be performed by a sender under a time constraint. This paper de-scribes an encryption/decryption algorithm based on modular arithmetic of complex ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

Abstract: A new parallelization of the extended Euclidean GCD algorithm is proposed. It matches the best existing integer GCD algorithms since it can be achieved in parallel O/sub eps/(n/log n) using ...