The invention related to a method for encoding information using non-linear evenly distributed functions, that comprises the following steps for building such a function: selecting a first natural integer n, a first set En of cardinal n, a group G operating on said first set En, a second natural integer q and a second set Eq of cardinal q; defining a set OG of the orbits of the group G operating on vectors of n elements in the set Eq, a function II that, for each vector of the n elements of the set Eq, associates the corresponding orbit and a second function Φ allocating to each orbit of the group G a value of the set Eq; evenly distributing into a number q of sections the sums of the cardinals of the orbits of the group; defining a third function F comprising the first and second functions ΦoII.