CryptographyCyber SecurityInformation ProtectionModular ArithmeticCryptanalysisPublic key CryptographyInteger Algorithms in Cryptology and Information Assurance is a collection of the author's own innovative approaches in algorithms and protocols for secret and reliable communication. It concentrates on the "what"...
The output confirms some of arithmetic integer division operation rules: Return values from all tests are Integer or Double values . "20.6\7=3 : Long" shows that the first operand is rounded up from 20.6 to 21. "24\6.6=3 : Long" shows that the second operand is rounded up from ...
16.Research on Finite Field Arithmetic and Scalar Multiplication of Elliptic Curve Cryptographys;有限域运算和椭圆曲线数乘运算研究 17.an arithmetic operation in which the difference between two numbers is calculated.要计算两个数的差的数学运算。 18.amounts of post adjustment per index point按指数点计...
Modular Arithmetic may be used to find the last digits of large numbers. Powers of ten expressed as products of two factors without zero digits. Divisibility by 7, 13, and 91 (or by B2-B+1 in base B). Lucky 7's. Any integer divides a number composed of only 7's and 0's....
In essence, this type of generator treats the bits used by a digital computer to represent numbers as random entities. Tausworthe's approach quickly became popular because of the ease and efficiency with which it could be implemented by using a computer's binary arithmetic. The linear recurrence...
Most FHE schemes consist of bit-wise or integer-wise encryption operations; the plaintext space is ℤ2 in bit-wise encryption, and the plaintext space is ℤ𝑝 for some 𝑝>2 in integer-wise encryption [16,17,18]. Some schemes have been executed via integer arithmetics, but bit-wis...
RSA is heavily based on the modular arithmetic of large integers and the whole RSA includes three parts: key generation, encryption and decryption process. Software simulation of variable size message encryption based RSA Crypto-Algorithm using Ms. C#. NET The booming of quantum algorithm casts ...
In Javascript, arithmetic operations are feasible - as long as the used numbers don't exceed some limitations. Beyond the maximum numbers, calculations don't work at all, but some operations are also not reliable for medium size numbers. This library allows arithmetic operations with unsigned ...
Once we know how find all integer points on an elliptic curve reduced by modular arithmetic of a prime number. We need to consider a way to define an Abelian group out of those integer points. Let's consider all integer points from the first region on a reduced elliptic curve as the ele...
The Convolution Ring of Arithmetic Functions and Symmetric Polynomials Inspired by Rearick's work on logarithm and exponential functions of arithmetic functions, we introduce two new operators, LOG and EXP. The LOG operates on... H Li,T Machenry - 《Rocky Mountain Journal of Mathematics》 被引...