Abstract: In this paper an improved architecture of Extended-Euclidean Algorithm (EEA) for finding Modular Multiplicative Inverse (MMI) and Jacobi symbol is proposed. Implementation is done using ...

In this paper, a new mathematical method is used to study the indefinite equations of binary quadratic and binary arbitrary order, the problem of judging and solving these indefinite equations with or ...

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.

From basic algorithms like Sieve, Bitwise-sieve, Segmnted-sieve, Modular Arithmetic, Big Mod to Primality test, CRT etc. all other advance number theory algorithms.

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ABSTRACT: In certain computational systems the amount of space required to execute an algorithm is even more restrictive than the corresponding time necessary for solution of a problem. In this paper ...

Abstract: Modular arithmetic is becoming an area of major importance for many modern applications; RNS is widely used in digital signal processing, and most public-key cryptographic algorithms require ...