高维仿射码
H igh-DimensionalAffine Codes
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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.Abstract: High-dimensional affine codes were constructed using weak block designs, where thes- dimensional cosetofs-dimensional affine geometryG (m, p)over a finite fieldFpwas taken as an informationalbi,t and everys-dimensional coset family corresponding each elementwas regarded as a check line. The codes are the generalization of the affine manifold codes, and their lengths, dimensions, minimum distances and rateswere analyzed.
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Key words:
- linear code /
- affine geometric code /
- information element /
- coset /
- high-dimension
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