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-