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- Chinese Academy of SciencesCN9 papers
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9 papers · 1 filter
A family of projective two-weight linear codes
Ziling Heng, Dexiang Li, Jiao Du +1
Projective two-weight linear codes are closely related to finite projective spaces and strongly regular graphs. In this paper, a family of -ary projective two-weight linear code…
Near MDS codes from oval polynomials
Qiuyan Wang, Ziling Heng
A linear code with parameters of the form is referred to as an MDS (maximum distance separable) code. A linear code with parameters of the form is sai…
Optimal Binary Linear Codes from Maximal Arcs
Ziling Heng, Cunsheng Ding, Weiqiong Wang
The binary Hamming codes with parameters are perfect. Their extended codes have parameters and are distance-optimal. The first objective o…
Decoding Polar Codes via Weighted-Window Soft Cancellation for Slowly-Varying Channel
Yong Fang
Polar codes are a class of {\bf structured} channel codes proposed by Arıkan based on the principle of {\bf channel polarization}, and can {\bf achieve} the symmetric capacity of a…
The parameters of a family of linear codes
Weiqiong Wang, Yan Wang
A large family of linear codes with flexible parameters from almost bent functions and perfect nonlinear functions are constructed and their parameters are determined. Some constru…
The Subfield Codes of Hyperoval and Conic codes
Ziling Heng, Cunsheng Ding
Hyperovals in $\PG(2,\gf(q))$ with even are maximal arcs and an interesting research topic in finite geometries and combinatorics. Hyperovals in $\PG(2,\gf(q))$ are equivalent…