A method is shown by which it is possible to establish the existence (or nonexistence) of the comma-free properties of any group code from a simple observation of its null-space. Using this technique it is then demonstrated that all

{em cyclic} group error-correcting code dictionaries can be made comma-free (without adding further redundancy or altering their error-correcting properties) if, and only if,

. If

is larger than

it is still possible to detect bit gains or losses of up to

code bits.