Some Punctured Codes of Several Families of Binary Linear Codes

Two general constructions of linear codes with functions over finite fields have been extensively studied in the literature. The first one is given by C(f)={ Tr(af(x)+bx)x ∈ \mathbb Fqm*: a,b Fqm }, where q a prime power, Fqm* = \{0}, Tr trace function from to Fq, and f(x) f(0)=0. Almost bent functions, quadratic some monomials on F2m were used construction, many families binary few weights obtained This paper studies punctured these codes. Several new parameters are this paper. distance-optimal also produced