I wonder if there is some information theory paper to be written here. On one hand you want the most common products sold to have low Komogorov complexity codes

I wonder if there is some information theory paper to be written here. On one hand you want the most common products sold to have low Komogorov complexity codes (111, 123, 147, …). Then there is the question of the distance between similar products and similar codes: is it better to have similarly priced products have similar codes, so that errors don't amount to much in the final tally, or to space out similar goods so that confusion is avoided? Maybe there is a whole phase diagram of optimal strategies that depends on the error rate. But then again one has to have a good error model. Do errors come from mistyping or from misremembering?