منابع مشابه
On the minimum distance of combinatorial codes
A conjecture of Da Rocha concerning the minimum distance of a class of combinatorial codes is proven.
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متن کاملLower bounds on the minimum average distance of binary codes
Let β(n,M) denote the minimum average Hamming distance of a binary code of length n and cardinality M. In this paper we consider lower bounds on β(n,M). All the known lower bounds on β(n,M) are useful when M is at least of size about 2n−1/n. We derive new lower bounds which give good estimations when size of M is about n. These bounds are obtained using linear programming approach. In particula...
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ژورنال
عنوان ژورنال: Finite Fields and Their Applications
سال: 2013
ISSN: 1071-5797
DOI: 10.1016/j.ffa.2012.12.001