Straightforward and Efficient Constrained Codes

GC-content and homopolymer run constraints play a crucial role in minimizing errors during DNA synthesis and sequencing processes. This work presents a polynomial-time algebraic framework that enforces three code design criteria in the payload strand: (i) balanced GC-content, (ii) homopolymer run length 6, and (iii) substitution error-correction schemes. The framework also integrates k-weakly mutually uncorrelated addressing for enhanced random access. The construction of codes is based on linear systematic codes and Knuth balancing technique. Furthermore, our comparative analysis demonstrates that imposing homopolymer run constraint yields negligible rate loss in the coding scheme.