Partition chains with balanced vectors are constructed in this paper. The partition chains can be constructed from weight distribution of Reed-Muller codes or randomization lemma. For the partition chain, its line coding parameters such as maximum runlength and running digital sum are obtained. The trellis and multilevel code structure can be used to design the error-correcting balanced codes. Especially, by adopting balanced trellis codes as constituent codes, balanced turbo codes can be designed. As results, the designed error-correcting balanced codes have good coding parameters.

DC-free error-correcting codes based on partition chain are presented in this paper. The partition chain can be constructed from code partition chain of Reed-Muller codes. The line coding parameters for the partition chain such as maximum runlength and running digital sum are obtained. The trellis and multilevel code structure can be used to design the DC-free error-correcting codes. Especially, by adopting DC-free trellis codes as constituent codes, DC-free turbo codes can be designed. As results, the presented DC-free error-correcting codes have good coding characteristics.