On quantiles of minimal codeword weights of random linear codes over $\mathbf{F}_p$

We propose explicit equations for two-sided estimates of quantiles of minimal non-zero codeword weight distributions for random equiprobable linear code with given dimension over the prime field $\mathbf{F}_p$. It is shown that the differences between quantiles of these distributions are bounded by values depending only on $p$ and levels of quantiles.