Ziling Heng

collaborators

3 papers

cs.IT2020

The Subfield Codes of $[q + 1, 2, q]$ MDS Codes

Ziling Heng, Cunsheng Ding

Recently, subfield codes of geometric codes over large finite fields $\gf(q)$ with dimension $3$ and $4$ were studied and distance-optimal subfield codes over $\gf(p)$ were obtaine…

cs.IT2020

Near MDS codes from oval polynomials

Qiuyan Wang, Ziling Heng

A linear code with parameters of the form $[n, k, n - k + 1]$ is referred to as an MDS (maximum distance separable) code. A linear code with parameters of the form $[n, k, n - k]$ is sai…

cs.IT2020

Optimal Binary Linear Codes from Maximal Arcs

Ziling Heng, Cunsheng Ding, Weiqiong Wang

The binary Hamming codes with parameters $[2^{m} - 1, 2^{m} - 1 - m, 3]$ are perfect. Their extended codes have parameters $[2^{m}, 2^{m} - 1 - m, 4]$ and are distance-optimal. The first objective o…

The Subfield Codes of [q+1,2,q] MDS Codes

Near MDS codes from oval polynomials

Optimal Binary Linear Codes from Maximal Arcs

The Subfield Codes of $[q + 1, 2, q]$ MDS Codes