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This paper is devoted to introduce the structure of the p -ary linear codes C(n,q)  of points and lines of PG(n,q) , q=p^h prime. When p=3 , the linear code C(2,27) is given with its generator matrix and also, some of weight distributions are calculated.

Weight Distribution of Some Codewords of 3-ary Linear Code over GF(27)‎