Multiplicative inverses mod n

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If you have cryptography exam, remember this is the best video to learn multiplicative inverse mod n, so don't skip, just because it's above 10 min.

kishoresrinivas

7:23 I'm 80-90% sure it's supposed to be "3 = 1(3) + 0" instead but I'm not sure.

Bayckun

This is literally the best video on this on youtube!!! Great Work

Asdfdyutgfd

3 is not equal to 1(0) + 0, but the rest was very useful :) :D

lordbalmon

OMG thankyou, im literally going to write these notes down in a way that ill never forget tankyou

silentassailant

8:10
How did he make it into 4(3) there? I don't get the jump.

PenguFKnight

Very Good Video.. Helped me in understanding modular arithmetic.

kratos

Very nice, my friend. I thoroughly enjoyed it. Keep up the good work. :)

michaeltisher

Excellent, crystal clear explanation.

mksarav

At 7:31
There should be 3 = 1 (3) + 0
I think 3 = 1(0) + 0 is wrong

CodeXBro

Thank you very much for this. xy = 1 mod n is actually helped me so much.

MyAsdfqwe

Here's an easier way. Take 11/26 and write out the continued fraction representation, = [2, 2, 1, 3]. Underneath write the convergents = [1/2, 2/5, 2/7, 11/26]. From the rightmost denominator (26), subtract the denominator to the left (7), giving 19, the answer. This rule applies to an even number of partial quotients (we have 4). For an odd number, we just record the denominator to the left of the rightmost denominator. Say we want the multiplicative inverse of 5 mod 21. We get [4, 4, 1] and underneath our convergents are [1/4, 4/17, 5/21]. Denominator to the left of the 21 is 17, the answer since 5 * 17 = 85 = 1 mod 21; (correct).

yifuxero

-15/2 mod 19 what will be the result? which method should I use?

syedfarabi

How can u explain this.
With the Euclidean algorithm we finally have an efficient algorithm for finding the multiplicative inverse in Zm that is much better than exhaustive search. Find the inverses in Zm of the following elements a modulo m:
a = 7, m = 26 (affine cipher)
Thanx

charithamunasinghe

Letter "F" is in position 6 of the alphbet. The rest is very informative and easy to understand.

BMGRDNRJJ

How did you know -7 is the same as 19 mod 26? Thanks

perla

While the rest are corrent, I think 3 = 3(1) + 0 is the correct equation. Thanks for the video anyway.

EmmanuelUmoh

Why is 1 mod 7 equal to 15 ?
Is it not 1?

paritoshmehta

modular multiplicative inverse{d = ee−1(mode φ(n) ) } where : e=27 and n=55 please help me calculate 'd'

ankitabasu

thanks, how i can chose the key, what is the conditions??

alsehalo

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