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Math Help - Elliptic Curve Group / Multiplication

  1. #1
    jbb
    jbb is offline
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    Elliptic Curve Group / Multiplication

    Hiya

    Can anyone shed any light on this?

    I'm trying to multiply a point in an elliptic curve group.

    The curve is over . As an example, I'll use - this point is indeed in the elliptic group.

    I believe the rule for multiplication in this case is that: is given by:




    where

    So by my working out..

    I'm not sure how to get any further with this. The answer here is that therefore .

    But I have no idea why

    Can anyone help?

    Thanks for any suggestions!
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  2. #2
    MHF Contributor chisigma's Avatar
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    Re: Elliptic Curve Group / Multiplication

    Quote Originally Posted by jbb View Post
    ... but I have no idea why

    Can anyone help?

    ... simple: 6*4=24= 1\ \text{mod}\ 23 ...

    Kind regards

    \chi \sigma
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  3. #3
    jbb
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    Re: Elliptic Curve Group / Multiplication

    Ah of course. It would be an inverse mod p then..

    Thanks
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