Steiner systems $$S(2, 4, \frac{3^m-1}{2})$$ and 2-designs from ternary linear codes of length $$\frac{3^m-1}{2}$$
نویسندگان
چکیده
منابع مشابه
On the Classification of Certain Ternary Codes of Length 12
A ternary [n, k] code C is a k-dimensional vector subspace of Fn3 , where F3 denotes the finite field of order 3. The weight wt(x) of a vector x is the number of non-zero components of x. The minimum non-zero weight of all codewords in C is called the minimum weight of C. A ternary [n, k, d] code is a ternary [n, k] code with minimum weight d. Throughout this note, we denote the minimum weight ...
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ژورنال
عنوان ژورنال: Designs, Codes and Cryptography
سال: 2019
ISSN: 0925-1022,1573-7586
DOI: 10.1007/s10623-019-00651-8