A (55,16,19) binary Goppa code and related codes having large minimum distance

A (55,16,19) binary Goppa code is used to construct (57,17,17), (58,17,18), (59,17,19), and (60,17,20) codes. The first two codes have smaller redundancy than previously known codes (linear or nonlinear) of the same length and minimum distance. The last two codes have parameters previously attained only by nonlinear codes.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>