
January 3rd, 2003, 09:36 PM
#1
Encryption Explained
Alright, this is one of my firsts tut's...I did my best....Feedback would be amazing....
um, Hope you like it...
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Encryption Explained:
=Introduction:
In ths tutorial I will try to demonstrate the many different ways one can use Encryption and how widely spread they are...I will stick to mainly
basic and simple implementations of encryption to maximize the learing potential. I hope that this will help some of you understand more about encryption and that you enjoy reading this as much as I enjoyed writing it
Simple Alfabet Sunbstitution:
This method of encryption has been used for up to thousands of years, how ever it isn't very secure because a simple algorithme can be writen to crack it.... it is how ever very easy to impliment, and thus some times used when trying to keep simple messages private in a public area.
The data is read down, the letter you are trying to encrypt would be substituted with the one below it, when decrypting, you simply run the cycle in reverse.

V
___________________________
ABCDEFGHIJKLMNOPQRSTUVWXYZ
RUJEGPWXOHNAVLMISYTKDQCFBZ
It is important to notice that each letter only occurs ONCE on each line, and that EVERY letter has a counter cipher, if this was not true, then the encryption would yeald corrupted data.
Let's try it:
SAM HAS TWO HATS  Normal Text.
TRV XRT KCM XRKT  Encrypted text.
This isn't very hard and I'm sure every one has done something like this during school at one point, so I will move on quickly.
=Alphabetic Encryption usinc a Matrix:
This is where it starts getting a little bit more difficult, although You should all be able to follow.

V
ABCDEFGHIJKLMNOPQRSTUVWXYZ
____________________________
> 01RUJEGPWXOHNAVLMISYTKDQCFBZ
02QYBRHOWVJLSEPMZCKGTNFXUAID
03EOBJGLSXFDKNPQHMZUWAVRYITC
04NGVEIBXOTPMZCLQWSJAHRYKDUF
05VRSQMUCJDNKPXAZGOLFETWYHIB
06HXLCZOBJQSMGNERYDUKAWIPTFV
07VMOELZDTSBXQICGJUHFNAYPKWR
08STBPXIWNYUCMVFLZQGOEAHRJKD
09WQKVSDYBZPEUIXJAMCHNTGROFL
10ZDRFCALVYTPMEGBNIUWHOXQKSJ
In this Matrix, the Xaxis deals with the Letter in question, the Yaxis deals with it's possition in the string.
If the string is Longer than then length of the YAxis, then we simply sart at the top again...
So, let's try to encrypt the same string as last time with this Matrix, I have intentionaly left the fist line identical to the one used last one so
SAM HAS TWO HATS  Text to be Encrypted
TQP OVK NRJ VRNW  Encrypted Text, only digit 1 and 11 are equal to that of the simpler encryption.
=Adding a whole new Dimension to it Matrix Encryption:
A now we are going to add a new Dimantion to this, a third dimention...I'm only gona take the Z dimention to two levels because ten yould be very big. the idea of a third dimention simply means you use a more matrecies and swap between them.
_____________
/_____________ 
/_____________ 
/_____________ 
/_____________ 
 
 
 MATRIX 
 DATA 
 
Matrix 1
ABCDEFGHIJKLMNOPQRSTUVWXYZ
____________________________
01RUJEGPWXOHNAVLMISYTKDQCFBZ
02QYBRHOWVJLSEPMZCKGTNFXUAID
03EOBJGLSXFDKNPQHMZUWAVRYITC
04NGVEIBXOTPMZCLQWSJAHRYKDUF
05VRSQMUCJDNKPXAZGOLFETWYHIB
06HXLCZOBJQSMGNERYDUKAWIPTFV
07VMOELZDTSBXQICGJUHFNAYPKWR
08STBPXIWNYUCMVFLZQGOEAHRJKD
09WQKVSDYBZPEUIXJAMCHNTGROFL
10ZDRFCALVYTPMEGBNIUWHOXQKSJ
Matrix 2
ABCDEFGHIJKLMNOPQRSTUVWXYZ
____________________________
01CFMORTKWDPGHAYJSUZVXQBLENI
02ADQPKLHTXCVIENGOWFJURZSMBY
03DQAPVLSIRXYUNMFOTEBHJWZCKG
04DROPKFMJBGQZAWYXIVULETHSNC
05YFPDTOMNISWJERAGKCVUXHQLBZ
06EHRIZJWUQKGANOYVFTLPXCSDBM
07WGZQIMBAUHFRDNVTOSLXJYCPKE
08UKPNOSRHZDVWMJYLXQETCBGAFI
09WQKVSDYBZPEUIXJAMCHNTGROFL
10YZEVCIPXUABKRJNSDHTFLGOWQM
Now, if you where going to encrypt some text, you woul have to keep track of where you where in the text and weather or not the current you where on Matrix 1 or 2, this is simply done by counting and simple math's, for a high end Encryption matrix you would use 256 Matrecies all 256x256, this means that you can cover every character in the ASCII character set, this means that you can use the X as the Pure text variable, the Y as the possition in the Text, and the Z as a character in a password, thus if you where encrypting the Character A in possition 3 using the PasswordCharacter in possition 3 you will get an answer that is near impossible to crack without the KeyMatrix which can acctualy be called a cube, sice it has three dimention's now.
=XOR Encryption
XOR is a Binary Level of Data manipulation, it stands for Exclusive OR gate, and works very much like an OR gate, with the exception that once both input A and B are 1(on) the Q(out put) will be 0(off) where as in an OR gate it would be 1
XOR can be used to encrypt because if you input A as a singel Character or pure text and B a singel character of Passwordtext, then the out put will be encrypted A XOR B, the whole process is a triangle, input two parts, and the third will come out, no matter which way you do it.
This means that:
A XOR B = C
B XOR C = A
A XOR C = B
XOR is simple to implement because all you need to do is go along the password and the puretext and XOR them one by one respectivly, how ever, a false message can emerge simply by altering the Key, this means that false key's can be sent that will decrypt the data in a false way. One thing that is important to keep in mind is that the password needs to be shorter or equal to the Puretext or the trailing Parts of the Password will be useless.
One Implementation of XOR will allow you to make almost uncrackable messages...
Take Plaintext A and encrypt it with Password B to give you Cipher C
Then you have a fake Message (F) that you want C to decrypt as well, then to find the False Key (D) you would Encrypt F and C to give you D, now, when you Decrypt C with D you get F, thus you have generated two messages within the same text, this means that you can hide Cipherd text inside already cipherd text.
I hope this helps to shed some light on the simple encryption out there....
 Noia 3/1/2003
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Due to some probs with the ASCIIart I'v made this tut available for Download.
With all the subtlety of an artillery barrage / Follow blindly, for the true path is sketchy at best. .: Bring OS X to x86!:.
Og ingen kan minnast dei linne drag i dronningas andlet den fagre dag Då landet her kvilte i heilag fred og alle hadde kjærleik å elske med.
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