CUMULATIVE CODES AS VARIABLE REDUNDANCY CODES.

A cumulative decision feedback system is considered whereby the digits are decoded on the basis of all the digits in all of the repeated blocks. If an n,k binary group code is repeated N-l times, the resultant digits are considered as nN-tuples derived from an nN,k code. The parity check matrix, minimum distance and generator polynomial for cyclic codes are determinedfor the Nn,k codes in terms of the respective quantities for the n,k code. A method for partitioning the error detection and correction capabilities of the Nn,k code is suggested on the basis of a constant failsafe probability criterion. Author