METHOD FOR ALGEBRAIC DECODING OF NOISE-STABLE CODES

摘要

Method for algebraic decoding of noise-stable codes includes calculation at accepted code sequence by means of respective devices for computing syndrome sequence according to which with use of coefficients of polynomial of locators of errors by means of respective devices one compiles and signs solutions of systems of linear equations that set values and positions of non-zero elements of error vector. After that by means of devices for adding elements over end field GF(q) one checks errors in sequence taken. At implementation of respective calculations one uses three-dimensional syndrome sequence and three-variant polynomial of error locators.