Aspects of the invention relate to methods, compositions and algorithms for designing and producing a target nucleic acid. The method can include: (1) providing a plurality of blunt-end double-stranded nucleic acid fragments having a restriction enzyme recognition sequence at both ends thereof; (2) producing via enzymatic digestion a plurality of cohesive-end double-stranded nucleic acid fragments each having two different and non-complementary overhangs; (3) ligating the plurality of cohesive-end double-stranded nucleic acid fragments with a ligase; and (4) forming a linear arrangement of the plurality of cohesive-end double-stranded nucleic acid fragments, wherein the unique arrangement comprises the target nucleic acid. In certain embodiments, the plurality of blunt-end double-stranded nucleic acid fragments can be provided by: releasing a plurality of oligonucleotides synthesized on a solid support; and synthesizing complementary strands of the plurality of oligonucleotides using a polymerase based reaction.