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Modular Arithmetic

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  • Modular Inverting
    25 pts · 13029 Solves · 34 Solutions

    As we've seen, we can work within a finite field Fp, adding and multiplying elements, and always obtain another element of the field.

    For all elements g in the field, there exists a unique integer d such that g * d ≡ 1 mod p.

    This is the multiplicative inverse of g.

    Example: 7 * 8 = 56 ≡ 1 mod 11

    What is the inverse element: 3 * d ≡ 1 mod 13?

    Think about the little theorem we just worked with. How does this help you find the inverse of an element?

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