On the l-extendability of quaternary linear codes

An [n,k,d]q code C is l-extendable if C can be extended to an [n+l,k,d+l]q code. We give some new sufficient conditions for the l-extendability of [n,k,d]4 codes with d≢0(mod4) using the known results about odd sets in PG(k−1,4). The 3-extendability of quaternary linear codes is investigated through their diversities for the first time.