Theoretically is known a non-singular cubic curve give a (𝑛; 3)-arc in 𝑃𝐺(2, 𝑞), and (𝑛; 3)-arc give almost-MDS code. In this paper, new 114 projectively distinct almost-MDS codes are constructed from non-singular cubic curves over the Galois field of order twenty seven and shown that these are nearly-MDS codes. These codes have the length between 18 and 38, except the values 22,25,31,34 and 32 of them are incomplete. Also, the weight distributions and covering radius of these codes are given.

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