query: Why are modulo inverses important and what do they represent exactly?
positive_passages.docid: 20161
positive_passages.text: Prove that the multiplicative inverse of $a$ modulo $m$ exists if and only if $a$ and $m$ are coprime.
negative_passages.docid: 4972
negative_passages.text: Mod of numbers with large exponents [modular order reduction]
negative_passages.docid: 107866
negative_passages.text: How is information disclosed by modular multiplication?
negative_passages.docid: 73050
negative_passages.text: Explanation of the binomial theorem and the associated Big O notation
negative_passages.docid: 92760
negative_passages.text: What is the mathematical symbol/representation for the remainder operation?
negative_passages.docid: 92466
negative_passages.text: Is there any alternative to using % (modulus) in C/C++?
negative_passages.docid: 71788
negative_passages.text: Prove existence of multiplicative inverse modulo p when p is prime
negative_passages.docid: 76297
negative_passages.text: What is the inverse of the $\mbox{vec}$ operator?
negative_passages.docid: 1539
negative_passages.text: How do you calculate the modulo of a high-raised number?
negative_passages.docid: 69833
negative_passages.text: Number of elements not equal to their inverses is even number
negative_passages.docid: 84199
negative_passages.text: What does the $\|$ operation mean in cryptographic notation?
negative_passages.docid: 115305
negative_passages.text: Why is RSA encryption key based on modulo $\varphi(n)$ rather than modulo $n$?
negative_passages.docid: 111769
negative_passages.text: Why is inverse of orthogonal matrix is its transpose?
negative_passages.docid: 134700
negative_passages.text: Fastest way to get a positive modulo in C/C++
negative_passages.docid: 46144
negative_passages.text: Understanding imaginary exponents
negative_passages.docid: 57846
negative_passages.text: Multiplicative inverse in $\operatorname{GF}(2^8)$?
negative_passages.docid: 650
negative_passages.text: Modulus operation with negatives values - weird thing?