On decomposability of 4-ary distance 2 MDS codes, double-codes, and n-quasigroups of order 4
نویسنده
چکیده
The union of two disjoint (n, 4n−1, 2) MDS codes in {0, 1, 2, 3}n is a double-MDS-code. If the adjacency graph of the double-MDS-code is not connected, then the double-code can be decomposed into double-MDS-codes of smaller lengths. If the graph has more than two connected components, then the MDS codes are also decomposable. The result has an interpretation in terms of n-quasigroups of order 4. MDS codes, n-quasigroups, decomposability, reducibility MSC:05B99 , 20N15 , 94B25
منابع مشابه
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ورودعنوان ژورنال:
- Discrete Mathematics
دوره 308 شماره
صفحات -
تاریخ انتشار 2008