论文标题
所有最小$ [9,4] _ {2} $ - 代码是双曲线四边形
All minimal $[9,4]_{2}$-codes are hyperbolic quadrics
论文作者
论文摘要
在过去的几年中，对最小的代码进行了深入研究。 $ [n，k] _ {q} $ - 最小线性代码是培养的，$ n $ in $ pg（k-1，q）$的尺寸$ n $的强阻滞集和强块集合的大小的下限由$（k-1）（q+1）给出。在本说明中，我们表明，$ pg（3,2）$中的所有强长度为9的强阻滞集是双曲线四边形$ q^{+}（3,2）$。
Minimal codes are being intensively studied in last years. $[n,k]_{q}$-minimal linear codes are in bijection with strong blocking sets of size $n$ in $PG(k-1,q)$ and a lower bound for the size of strong blocking sets is given by $(k-1)(q+1)\leq n$. In this note we show that all strong blocking sets of length 9 in $PG(3,2)$ are the hyperbolic quadrics $Q^{+}(3,2)$.
