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In this work, we propose two criteria for linear codes obtained from thePlotkin sum construction being symplectic self-orthogonal (SO) and linearcomplementary dual (LCD). As specific constructions, several classes ofsymplectic SO codes with good parameters including symplectic maximum distanceseparable codes are derived via $\ell$-intersection pairs of linear codes andgeneralized Reed-Muller codes. Also symplectic LCD codes are constructed fromgeneral linear codes. Furthermore, we obtain some binary symplectic LCD codes,which are equivalent to quaternary trace Hermitian additive complementary dualcodes that outperform best-known quaternary Hermitian LCD codes reported in theliterature. In addition, we prove that symplectic SO and LCD codes obtained inthese ways are asymptotically good.

Symplectic self-orthogonal and LCD codes from the Plotkin sum construction