Google launched four official and confirmed algorithmic updates in 2025, three core updates and one spam update. This is in comparison to last year, in 2024, where we had seven confirmed updates, then ...

Abstract: While the Karatsuba algorithm reduces the complexity of large integer multiplication, the extra additions required minimize its benefits for smaller integers of more commonly-used bitwidths.

The looming challenges of quantum computing have prompted the Java Platform to implement two advanced cryptographic solutions in its upcoming release, Java 24, slated for March 2025. Quantum computers ...

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C library developed to perform arithmetic operations on integers of arbitrary length and Karatsuba algorithm has been implemented for performing multiplication of ...

Abstract: This paper presents a Montgomery algorithm used for modular reduction with distributed Karatsuba algorithm to achieve the goal. The main objective of this proposal is to reduce the running ...