Problem 46636. Montgomery Multiplication

Created by David Hill

Solve Later

<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>

Solve

Solution Stats

3 Solutions
2 Solvers

Last Solution submitted on Oct 02, 2020

Last 200 Solutions

Problem Comments

1 Comment

1 Comment

Dyuman Joshi on 1 Aug 2022 at 9:19

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

Problem Recent Solvers2

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 46636. Montgomery Multiplication

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers2

Suggested Problems

More from this Author44

Problem Tags

Community Treasure Hunt

Problem 46636. Montgomery Multiplication

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers2

Suggested Problems

More from this Author44

Problem Tags

Community Treasure Hunt

Players