[Date Index]
[Thread Index]
[Author Index]
Q. Simultaneous Equations
*To*: mathgroup at smc.vnet.net
*Subject*: [mg2567] Q. Simultaneous Equations
*From*: "Enrico C. Walker" <ewalke1 at gl.umbc.edu>
*Date*: Tue, 21 Nov 1995 09:24:38 -0500
*Organization*: University of Maryland, Baltimore County
I'm working on a cipher problem where a plaintext {a,b,c,...,z is mapped to
0,1,2,...,25, respectively} is initially encrypted in a three blocks
raised to power of 26. For example,
DOG --> 3(26^2)+14(26)+6 = 2398 --> (a 656+ b 26 + c == k)
CAT --> 2(26^2)+0(26)+19 = 1371 --> (d 656+ e 26 + f == l)
ZZZ --> 25(26^2)+25(26)+25 = 17575 --> (g 656+ h 26 + i == m)
(2398,1371,17575) are then encrypted in some formulae which resulted
to some corresponding integers. Well, I've finally decrypted the given
cipher and now facing with lots of integers (like 2398,1371,17575). I
need to find the corresponding a,b,c = 2398 (as shown above). I'm not really
sure if this is a simultaneous linear equations or perhaps can be solved
in some other way. I guess the main question is that:
How can I find the variables (a,b,c) that will satisfy an integer k where
(a,b,c) are integers between 0,1,2,...,25 .
a 656 + b 26 + c = 2398
Again your advice is greatly appreciated.
I can also be reached at 1-800-775-7094 ext 3105.
-ENRICO-
Prev by Date:
**Re: [Q] how fast is each machine with Mathematica ?**
Next by Date:
**Re: Re: Recombining CoefficientList**
Previous by thread:
**Re: Re: changing defaults ...**
Next by thread:
**How to simplify transposed terms?**
| |