Results on binary cyclic codes

Thirty-seven binary cyclic codes with minimum distance higher than those of the best linear codes given in Brouwer´s table are presented. Among these new cyclic codes is the quadratic residue code of length 199, for which is provided an answer to the long-open question regarding its minimum distance. Four new binary linear codes are also obtained by applying Construction X and Construction Y1 to those new cyclic codes. Overall, after taking into account the extended, punctured and shortened codes, there are 869 binary linear codes which are improvements to Brouwer´s lower-bound