ON THE RELATIVE GENERALIZED HAMMING WEIGHTS OF LINEAR CODES AND THEIR SUBCODES.

The first present an equivalent definition of relative generalized Hamming weights of a linear code and its subcodes, and we develop a method using finite projective geometry. Making use of the equivalent definition and the projective-geometry method, all of the relative generalized Hamming weights of a 3-dimensional q-ary linear code and its subcodes will be determined. [ABSTRACT FROM AUTHOR]