Abstract: A codeword generator produces codewords in the form of digital electronic signals which may be employed, for example, in spread spectrum communications system or RADAR systems. The generator effects a mixing ergodic transformation upon a suitable irrational number to produce a complex number sequence. The generator truncates the complex number sequence to a predetermined length, thus forming a codeword. The generator then forms other codewords within a family by permuting this first codeword. Other families of codewords may be generated by employing another mixing ergodic transform to transform the same irrational number or another suitable irrational number.