A method includes identifying one or more codewords of a bit sequence that fail to satisfy at least one codeword constraint. The method also includes removing the one or more codewords from the bit sequence to generate a punctured bit sequence. The method further includes determining whether the punctured bit sequence is symmetric. The method includes, in response to determining that the punctured bit sequence is symmetric, generating a hermitian symmetric codebook primitive based at least in part on the punctured bit sequence, where the hermitian symmetric codebook primitive is useable to form a diffractive optical element (DOE) of a structured light depth sensing system.