Information on Result #604944

Linear OA(546, 47, F5, 46) (dual of [47, 1, 47]-code or 47-arc in PG(45,5)), using dual of repetition code with length 47

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(546, 47, F5, 45) (dual of [47, 1, 46]-code) [i]Strength Reduction
2Linear OA(546, 47, F5, 44) (dual of [47, 1, 45]-code) [i]
3Linear OA(546, 47, F5, 43) (dual of [47, 1, 44]-code) [i]
4Linear OA(546, 47, F5, 42) (dual of [47, 1, 43]-code) [i]
5Linear OA(546, 47, F5, 41) (dual of [47, 1, 42]-code) [i]
6Linear OA(546, 47, F5, 40) (dual of [47, 1, 41]-code) [i]
7Linear OA(596, 160, F5, 46) (dual of [160, 64, 47]-code) [i]VarÅ¡amov–Edel Lengthening
8Linear OA(597, 165, F5, 46) (dual of [165, 68, 47]-code) [i]
9Linear OA(598, 170, F5, 46) (dual of [170, 72, 47]-code) [i]
10Linear OA(5104, 205, F5, 46) (dual of [205, 101, 47]-code) [i]
11Linear OA(5113, 274, F5, 46) (dual of [274, 161, 47]-code) [i]
12Linear OA(5114, 283, F5, 46) (dual of [283, 169, 47]-code) [i]
13Linear OA(5118, 323, F5, 46) (dual of [323, 205, 47]-code) [i]
14Linear OA(5119, 334, F5, 46) (dual of [334, 215, 47]-code) [i]
15Linear OA(5121, 357, F5, 46) (dual of [357, 236, 47]-code) [i]
16Linear OA(5122, 369, F5, 46) (dual of [369, 247, 47]-code) [i]
17Linear OA(5144, 783, F5, 46) (dual of [783, 639, 47]-code) [i]
18Linear OA(5147, 869, F5, 46) (dual of [869, 722, 47]-code) [i]