Comments on: Visualizing group structure with colored addition/multiplication tables http://alicebob.cryptoland.net/visualizing-group-structure-with-colored-additionmultiplication-tables/ Fri, 06 Jan 2012 10:22:56 +0000 hourly 1 http://wordpress.org/?v=3.3.1 By: Steve Souza http://alicebob.cryptoland.net/visualizing-group-structure-with-colored-additionmultiplication-tables/#comment-27 Steve Souza Tue, 06 Jul 2010 18:09:19 +0000 http://alicebob.cryptoland.net/?p=70#comment-27 Interesting. I created a simple java program a while back that allows you to put in any number you want to use as the modulo. The results are drastically different depending on what you pick. Also it generates some images using a tangent function. The code and a couple examples of what is generated are attached. The modulo images seem to have been removed though... http://www.coderanch.com/forums/forums/posts/watch/0/35507 Interesting. I created a simple java program a while back that allows you to put in any number you want to use as the modulo. The results are drastically different depending on what you pick. Also it generates some images using a tangent function. The code and a couple examples of what is generated are attached. The modulo images seem to have been removed though…

http://www.coderanch.com/forums/forums/posts/watch/0/35507

]]> By: Conrado http://alicebob.cryptoland.net/visualizing-group-structure-with-colored-additionmultiplication-tables/#comment-26 Conrado Mon, 05 Apr 2010 23:10:11 +0000 http://alicebob.cryptoland.net/?p=70#comment-26 @andrewl: You're right, I've messed up :) I should've mentioned something like DSA instead. Your idea is neat, I'll try it later and post it. Thanks for reading! @andrewl:

You’re right, I’ve messed up :) I should’ve mentioned something like DSA instead.

Your idea is neat, I’ll try it later and post it. Thanks for reading!

]]> By: andrewl http://alicebob.cryptoland.net/visualizing-group-structure-with-colored-additionmultiplication-tables/#comment-25 andrewl Tue, 30 Mar 2010 22:29:57 +0000 http://alicebob.cryptoland.net/?p=70#comment-25 "Then I got curious: how would the multiplication table of integers modulo n look like? This group is the group used in many cryptographic schemes, like RSA. This is the multiplication table for integers modulo 509:" Well where is the n? 509 is prime! If you draw a picture of the group Z_n*, it would be very cool if you could draw by its side Z_p* and Z_q* and then use the same colors in Z_n* somehow so that we could see the "direct product" of the two groups. I'll keep watch on this page! Very nice! “Then I got curious: how would the multiplication table of integers modulo n look like? This group is the group used in many cryptographic schemes, like RSA. This is the multiplication table for integers modulo 509:”

Well where is the n? 509 is prime!

If you draw a picture of the group Z_n*, it would be very cool if you could draw by its side Z_p* and Z_q* and then use the same colors in Z_n* somehow so that we could see the “direct product” of the two groups.

I’ll keep watch on this page! Very nice!

]]> By: Operaties op groepen visualiseren at QED http://alicebob.cryptoland.net/visualizing-group-structure-with-colored-additionmultiplication-tables/#comment-24 Operaties op groepen visualiseren at QED Mon, 08 Dec 2008 12:39:45 +0000 http://alicebob.cryptoland.net/?p=70#comment-24 [...] de blog Alice and Bob in Cryptoland vond ik enkele interessante visualisaties van operaties op groepen. Een eenvoudig voorbeeld is de [...] [...] de blog Alice and Bob in Cryptoland vond ik enkele interessante visualisaties van operaties op groepen. Een eenvoudig voorbeeld is de [...]

]]> By: Alan Crowe http://alicebob.cryptoland.net/visualizing-group-structure-with-colored-additionmultiplication-tables/#comment-23 Alan Crowe Sun, 07 Dec 2008 20:55:30 +0000 http://alicebob.cryptoland.net/?p=70#comment-23 Wow! I gasped aloud at the sight of y^2 = x^3 + 4x + 1 over GF(503). I've dumped random bits into images to play with smoothing algorithms and they look just like that before you smooth them. (The gray scale ones turn into slate paving slabs when you smooth them enough, I've forgotten what happened to the colour ones.) Wow! I gasped aloud at the sight of y^2 = x^3 + 4x + 1 over GF(503). I’ve dumped random bits into images to play with smoothing algorithms and they look just like that before you smooth them. (The gray scale ones turn into slate paving slabs when you smooth them enough, I’ve forgotten what happened to the colour ones.)

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