Charles H. Bennett, Aram W. Harrow, et al.
IEEE Trans. Inf. Theory
A cyclic b-burst correcting code over GF(a) of redundancy r and length n #x003D; (qr-b+1 #x2014; 1)/(q - 1) is said to be optimum. We will prove that a necessary condition lor the existence of such code is the existence of a square-free polynomial in GF(q)[x] of degree b #x2014; 1 which is not divisible by x such that its period and the degrees of its irreducible factors are relatively prime to q -1. Moreover, if such a polynomial exists, then there are an infinite number of optimum cyclic b -burst correcting codes over GF(q). © 1988 IEEE
Charles H. Bennett, Aram W. Harrow, et al.
IEEE Trans. Inf. Theory
Pradip Bose
VTS 1998
Eric Price, David P. Woodruff
FOCS 2011
Joel L. Wolf, Mark S. Squillante, et al.
IEEE Transactions on Knowledge and Data Engineering