Construction of Efficient q-ary Balanced Codes

Knuth proposed a simple scheme for balancing codewords, which was later extended for generating q-ary balanced codewords. The redundancy of existing schemes for balancing q-ary sequences is larger than that of the full balanced set which is the minimum achievable redundancy. In this article, we present a simple and efficient method to encode the prefix that results in less redundancy for the construction of q-ary balanced codewords.