1 research outputs found
On Binary Cyclic Codes with Five Nonzero Weights
Let , , be odd and .
In this paper the value distribution of following exponential sums
\sum\limits_{x\in \bF_q}(-1)^{\mathrm{Tr}_1^n(\alpha x^{2^{2k}+1}+\beta
x^{2^k+1}+\ga x)}\quad(\alpha,\beta,\ga\in \bF_{q}) is determined. As an
application, the weight distribution of the binary cyclic code \cC, with
parity-check polynomial where , and
are the minimal polynomials of , and
respectively for a primitive element of \bF_q, is
also determined