【摘要】 利用弱区组设计的方法,以Fp上的m维仿射几何G(m,p)的s维陪集为信息位,将每个元素对应的s维陪集族作为监督维线,构造了高维仿射码,并且分析了该码的码长、维数、极小码距和码率.高维仿射码是仿射流形码的推广.更多还原

【Abstract】 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.更多还原