Weight distributions of some classes of binary cyclic codes (Corresp.)

Let
h_1(x)h_2(x)
be the parity-check polynomial of a binary cyclic code. This correspondence presents a formula for decomposing words in the code as sums of multiples of words in the codes whose parity-check polynomials are
h_1(x)
and
h_2(x)
. This decomposition provides information about the weight distribution of the code.