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 ...

Yubico has released a security advisory addressing a side-channel vulnerability in Infineon’s cryptographic library, which several Yubico devices use. These devices include the YubiKey 5 Series, ...

The YubiKey 5, the most widely used hardware token for two-factor authentication based on the FIDO standard, contains a cryptographic flaw that makes the finger-size device vulnerable to cloning when ...

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: This paper considers a decomposition framework as a mechanism for information hiding for secure communication via open network channels. Two varieties of this framework are provided: one is ...

Abstract: This paper presents a dual-field modular division (inversion) algorithm and its hardware design. The algorithm is based on the Extended Euclidean and the Binary GCD algorithms. The use of ...