This paper presents research results of mixed base number systems using a bi-nomial representation of numbers and nonlinear coding methods by constant weight codes, which are based on a binomial count. Also we propose a method of non-binary constant weight coding based on a generalized binomial-positional representation, which allows to generalize the known approach to the non-binary case and practically implement computational algorithms for generating non-binary sequences of constant weight. The proposed method of non-binary con-stant weight coding can be useful for improving post-quantum code-based cryp-tographic algorithms.