Three Families of Projective Binary Linear Codes of at Most Four Weights
By: Tonghui Zhang, Pinhui Ke, Zuling Chang
Potential Business Impact:
Finds new math codes for secret messages.
Three classes of binary linear codes with at most four nonzero weights were constructed in this paper, in which two of them are projective three-weight codes. As applications, $s$-sum sets for any odd $ s > 1$ were constructed.
Similar Papers
Several classes of three-weight or four-weight linear codes
Information Theory
Makes secret messages harder to steal.
Several classes of $p$-ary linear codes with few-weights derived from Weil sums
Information Theory
Creates secret codes for sharing information safely.
Linear codes over $\frac{\mathbb{F}_q[u]}{\langle u^2 \rangle}$ with mixed-alphabet defining sets and their Gray images: Constructions of projective few-weight, distance-optimal and minimal codes
Information Theory
Creates better codes for secret messages and sharing.