Cyclotomic Linear Codes of Order $3$
Cunsheng Ding, Harald Niederreiter · IEEE Transactions on Information Theory · 2007
In this correspondence, two classes of cyclotomic linear codes over GF(q) of order 3 are constructed and their weight distributions are determined. The two classes are two-weight codes and contain optimal codes. They are not equivalent to irreducible cyclic codes in general when q > 2.