High-Dimensional Affine Codes
Aili Zhang · Journal of Southwest Jiaotong University · 2005
High-dimensional affine codes were constructed using weak block designs, where the s-dimensional coset of s-dimensional affine geometry G(m,p) over a finite field F_p was taken as an informational bit, and every s-dimensional coset family corresponding each element was regarded as a check line. The codes are the generalization of the affine manifold codes, and their lengths, dimensions, minimum distances and rates were analyzed.