Questions tagged [arithmetic]

Arithmetic is a branch of mathematics usually concerned with the four operations (adding, subtracting, multiplication and division) of positive numbers.

Arithmetic is a branch of mathematics usually concerned with the four operations (adding, subtracting, multiplication and division) of positive numbers. In other words: arithmetic describes the mathematics of integers, rational numbers, real numbers, or complex numbers under addition, subtraction, multiplication, and division.

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What exactly is addition modulo $2^{32}$ in cryptography?

EDIT: I've been confusing this the whole time. What I've been wanting to say this whole time is addition modulo $2^{32}$ not addition modulo 32 as the question originally said. Thanks for pointing that. I can't find any information on this and I…
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Does the following equation hold in bilinear pairings?

$e:G_1 \times G_1 \rightarrow G_2$, where $g$ is a generator of $G_1$. $\text{H}: \lbrace 0,1\rbrace ^* \rightarrow G_1$. Is $e(\text{H}(D)g^a,g) == e(\text{H}(D)g,g)^a$ ? where $D$ is a string