The present invention relates to an isolated DNA, which is selected from the following sequences: a) a sequence according to SEQ ID No. 01, b) an intron-free sequence that is derived from a sequence according to a) and encodes the same protein or peptide as the sequence according to SEQ ID No. 01, c) a sequence that encodes a protein or peptide, which comprises the amino acid sequence according to SEQ ID No. 02, d) a sequence that is at least 80% identical to a sequence according to a) to c), e) a sequence that hybridizes with the antisense strand of a sequence according to one of the groups a) to d) or would hybridize taking into account degeneration of the genetic code, f) a derivative of a sequence according to one of the groups a) to e) obtained by substitution, addition, inversion and/or deletion of one or more bases, g) a sequence that corresponds to SEQ ID No. 01 within the degeneration of the genetic code, h) a sequence with neutral sense mutations of SEQ ID No. 01, and i) a sequence complementary to a sequence according to one of the groups a) to h). The invention further relates to a vector, the use of this vector for transformation of a cell, a transformed cell, a polypeptide, cells genetically engineered relative to their wild type, a method of production of a genetically engineered cell, the genetically engineered cell obtainable by this method, the use of this cell and a method of production of 3-hydroxyisobutyric acid or of a derivative thereof.