The genetic code (relationship between codon triplet and amino acid encoded) is essentially the same for all organisms. What can differ is the codon usage. Some codons are rarely used in some organisms, and there may be a limited availability of the tRNA that recognizes that codon. This can result in poor expression if a rare codon is present in the construct. Therefore, it common practice nowadays to optimize the codon usage of a genetic expression construct to match the organism in which it is to be expressed. Codon usage tables can be found on-line.