Information on Result #609928

Linear OA(513, 16, F5, 11) (dual of [16, 3, 12]-code), using a projective code based on a Barlotti arc

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(512, 15, F5, 10) (dual of [15, 3, 11]-code) [i]Truncation
2Linear OA(511, 14, F5, 9) (dual of [14, 3, 10]-code) [i]
3Linear OA(586, 642, F5, 23) (dual of [642, 556, 24]-code) [i](u, u+v)-Construction
4Linear OA(5104, 3142, F5, 23) (dual of [3142, 3038, 24]-code) [i]
5Linear OA(5122, 15642, F5, 23) (dual of [15642, 15520, 24]-code) [i]
6Linear OA(5140, 78142, F5, 23) (dual of [78142, 78002, 24]-code) [i]
7Linear OA(582, 641, F5, 22) (dual of [641, 559, 23]-code) [i]
8Linear OA(599, 3141, F5, 22) (dual of [3141, 3042, 23]-code) [i]
9Linear OA(5116, 15641, F5, 22) (dual of [15641, 15525, 23]-code) [i]
10Linear OA(5133, 78141, F5, 22) (dual of [78141, 78008, 23]-code) [i]
11Linear OA(5150, 390641, F5, 22) (dual of [390641, 390491, 23]-code) [i]
12Linear OA(5111, 141, F5, 61) (dual of [141, 30, 62]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
13Linear OOA(513, 8, F5, 2, 11) (dual of [(8, 2), 3, 12]-NRT-code) [i]OOA Folding