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 ...

Abstract: Computing Modular multiplicative inverse is an important step in many arithmetic algorithms used in Cryptography. For example, Montgomery modular multiplication [2] is required to find out ...

There might be an opportunity to consolidate. AFAIK, Fermat plus addition chain should be fastest. For our fixed parameter P256 implementation, we invert either modulo p or n. We already have a fixed ...

Dr. James McCaffrey from Microsoft Research presents a complete end-to-end demonstration of computing a matrix inverse using the Newton iteration algorithm. Compared to other algorithms, Newton ...

College of Energy, Soochow Institute for Energy and Materials InnovationS (SIEMIS), and Jiangsu Provincial Key Laboratory for Advanced Carbon Materials and Wearable Energy Technologies, Soochow ...

I started the bitcoin_math project in order to teach myself the basics of Bitcoin math from first principles, without having to wade through the source code of any of the crypto or "bignum" libraries ...

The Nature Index 2025 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...

The security of Bitcoin, and other blockchains, such as Liquid, hinges on the use of digital signatures algorithms such as ECDSA and Schnorr signatures. A C library called libsecp256k1, named after ...

Introduction: Triply periodic minimal surface (TPMS) is widely used in the design of bone scaffolds due to its structural advantages. However, the current approach to designing bone scaffolds using ...