An error correcting system for correcting "t" errors over GF(2m), where t is even and preferably greater than or equal to six, transforms the t-degree error locator polynomial c(x) into a polynomial t(x) in which at10, where ai is the coefficient of the xi term of the error locator polynomial and Tr(at1)1,...http://www.google.de/patents/US6343367?utm_source=gb-gplus-sharePatent US6343367 - Error correction system for five or more errors