Abstract: The present invention provides a method for designing DNA code consisting of a set of information codes as an information carrier to write optional information into an optional noncoding region not including any DNA genetic information which can avoid an error occurring when the designed DNA is used. A set S1 of the base sequences corresponding to a signal unit for information transmission is obtained as follows: 1) selecting a template such that its Hamming distance of templates, against its block shift, and against the ligated sequences are equal to or above the predetermined value, when DNA sequence of predetermined length is specified by the binary string of 0 and 1 (template), meaning that the position of G or C ([GC]), or A or T ([AT]) are fixed, 2) further selecting a template having a subword constraint of length m from the set of the selected templates, and 3) combining thus selected template and codewords of the predetermined error-correcting codes having a subword constraint of length m.

Abstract: The present invention is to provide a method for efficiently and systematically designing DNA sequences that avoid mishybridization to each other. After selecting a template such that its Hamming distance of a fixed value k is kept against its reverse sequence and sequences constructed by shifting or concatenating the sequence and its reverse, a set of DNA sequences of predetermined length is specified by the combination of the selected binary string of 0 and 1 (template), and the codewords of any error correcting code such as the Hamming code. A set of DNA sequences thus represented by the template and the error correcting code of minimum distance k can guarantee at least k mismatches between any of the resulting DNA sequences and their concatenations.