Problem 46636. Montgomery Multiplication

Created by David Hill

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<div style = "text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; "><div style="block-size: 63px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 31.5px; transform-origin: 407px 31.5px; vertical-align: baseline; "><div style="font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">Multiply all elements of an input matrix (A) modulo N, given all elements are less than R (2^number of bits). Where gcd(R,N)=1 and N&lt;R. Output the final result, P (in normal form) and all intermediate products (p) in Montgomery form </span><span style="border-block-end-style: solid; border-block-end-width: 1px; border-bottom-style: solid; border-bottom-width: 1px; ">(</span><span style="">first product is just first element of matrix (A)*R modulo N</span><span style="border-block-end-style: solid; border-block-end-width: 1px; border-bottom-style: solid; border-bottom-width: 1px; ">)</span><span style="">.</span></span></div></div></div>

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6 Solutions
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Last Solution submitted on Nov 11, 2022

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Dyuman Joshi on 1 Aug 2022

David, can you explain what do you mean by intermediate products?

cokakola on 11 Nov 2022

I had to create the needed elements of p, they did not exist es intermediate results. Well, they exist, but not in the right form.

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Problem 46636. Montgomery Multiplication

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Problem 46636. Montgomery Multiplication

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Last 200 Solutions

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