Linear codes with few weights over 𝔽_p+u𝔽_p

For any positive integer m and an odd prime p; let 𝔽_q+u𝔽_q, where q=p^m, be a ring extension of the ring 𝔽_p+u𝔽_p. In this paper, we construct linear codes over 𝔽_p+u𝔽_p by using trace function defined on 𝔽_q+u𝔽_q and determine their Hamming weight distributions by employing symplectic-weight distributions of their Gray images.