On Weight Hierarchies of Product Codes The Wei-Yang Conjecture and more
نویسندگان
چکیده
The weight of a code is the number of coordinate positions where no codeword is zero. The rth minimum weight dr is the least weight of an r-dimensional subcode. Wei and Yang conjectured a formula for the minimum weights of some product codes. The conjecture is proved in two di erent ways, each with interesting side-results.
منابع مشابه
A Lower Bound on the Weight Hierarchies of Product Codes
The weight of a code is the number of coordinate positions where not all codewords are zero. The rth minimum weight dr is the least weight of an r-dimensional subcode. Wei and Yang conjectured a formula for the minimum weights of some product codes, and this conjecture has recently been proved in two di2erent ways. In this self-contained paper, we give a further generalisation, with a new proof...
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عنوان ژورنال:
- Electronic Notes in Discrete Mathematics
دوره 6 شماره
صفحات -
تاریخ انتشار 2001