The generalized goppa codes and related discrete designs from hermitian varieties
I. M. Chakravarti · NCSU Libraries Repository (North Carolina State University Libraries) · 1986
A short description is first given of the fascinating use of Hermitian curves and normal rational curves by Goppa in the construction of linear error correcting codes and estimation of their transmission rate (kin) and error correcting power (din) by invoking Riemann-Roch theorem and the subsequent discovery by Tsfasman, Vladut and Zink of a sequence of I inear codes in q symbols, whi ch performs better than those predicted by the Gi lbert--Varshamov bound for q ~ 49.