Method for Encoding Information Using Non Linear Evenly Distributed Functions and Computer Software for Implementing Said Method

A method of encoding information by the use of evenly distributed nonlinear functions comprising the following steps for constructing such a function:

• selection of a first natural integer n, and of a first set En comprising a number of elements equal to this first natural integer n,
• selection of a group G working on this first set En,
• selection of a second natural integer q and of a second set Eq comprising a number of elements equal to this second natural integer q,
• definition of a set OG of the orbits of the group G working on vectors, having the first natural integer n number of elements of the second set Eq,
• definition of a first function Π which, with each of said vectors of the second set Eq, associates the corresponding orbit,
• definition of a second function Φ assigning to each of the orbits of the group G a value from the second set Eq,
• even distribution in a number of sections equal to the second natural integer q of the sums of the cardinals of the orbits of the group by use of the mathematical properties of said cardinals,
• definition of a third function F which is the composite of the first and second functions ΦoΠ.