Binary and ternary LCD codes from projective spaces

Abstract

We construct binary and ternary Linear Complementary Dual (LCD) codes with parameters [Formula: see text] and [Formula: see text], where [Formula: see text] and [Formula: see text]. Further, we derive and study properties of a class of two, three and four weight codes [Formula: see text]. We show that under suitable conditions [Formula: see text] codes are self-orthogonal and satisfy the Griesmer bound.