Abstract :
We prove the nonexistence of linear codes with parameters [400,5,299]4, [401,5,300]4, [405,5,303]4, [406,5,304]4, [485,5,363]4 and [486,5,364]4 attaining the Griesmer bound. For that purpose we give a characterization of linear codes with parameters [86,4,64]4, [101,4,75]4, [102,4,76]4 and [122,4,91]4.