Information on Result #609927

Linear OA(58, 11, F5, 7) (dual of [11, 3, 8]-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(556, 635, F5, 15) (dual of [635, 579, 16]-code) [i](u, u+v)-Construction
2Linear OA(568, 3135, F5, 15) (dual of [3135, 3067, 16]-code) [i]
3Linear OA(580, 15635, F5, 15) (dual of [15635, 15555, 16]-code) [i]
4Linear OA(592, 78135, F5, 15) (dual of [78135, 78043, 16]-code) [i]
5Linear OA(5104, 390635, F5, 15) (dual of [390635, 390531, 16]-code) [i]
6Linear OA(5116, 1953135, F5, 15) (dual of [1953135, 1953019, 16]-code) [i]
7Linear OA(553, 636, F5, 14) (dual of [636, 583, 15]-code) [i]
8Linear OA(564, 3136, F5, 14) (dual of [3136, 3072, 15]-code) [i]
9Linear OA(575, 15636, F5, 14) (dual of [15636, 15561, 15]-code) [i]
10Linear OA(586, 78136, F5, 14) (dual of [78136, 78050, 15]-code) [i]
11Linear OA(597, 390636, F5, 14) (dual of [390636, 390539, 15]-code) [i]
12Linear OA(5108, 1953136, F5, 14) (dual of [1953136, 1953028, 15]-code) [i]
13Linear OA(543, 50, F5, 29) (dual of [50, 7, 30]-code) [i]Generalized (u, u+v)-Construction
14Linear OA(537, 46, F5, 23) (dual of [46, 9, 24]-code) [i]
15Linear OA(574, 140, F5, 33) (dual of [140, 66, 34]-code) [i]Construction XX with Cyclic Codes
16Linear OA(579, 145, F5, 34) (dual of [145, 66, 35]-code) [i]
17Linear OA(577, 142, F5, 34) (dual of [142, 65, 35]-code) [i]
18Linear OA(585, 152, F5, 36) (dual of [152, 67, 37]-code) [i]
19Linear OA(584, 150, F5, 36) (dual of [150, 66, 37]-code) [i]
20Linear OA(582, 148, F5, 35) (dual of [148, 66, 36]-code) [i]
21Linear OA(5106, 136, F5, 57) (dual of [136, 30, 58]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
22Linear OA(570, 136, F5, 32) (dual of [136, 66, 33]-code) [i]
23Linear OA(593, 159, F5, 38) (dual of [159, 66, 39]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
24Linear OA(591, 156, F5, 38) (dual of [156, 65, 39]-code) [i]
25Linear OA(588, 154, F5, 37) (dual of [154, 66, 38]-code) [i]
26Linear OA(587, 152, F5, 37) (dual of [152, 65, 38]-code) [i]
27Linear OA(585, 150, F5, 36) (dual of [150, 65, 37]-code) [i]
28Linear OA(580, 146, F5, 34) (dual of [146, 66, 35]-code) [i]
29Linear OA(579, 144, F5, 34) (dual of [144, 65, 35]-code) [i]
30Linear OA(576, 142, F5, 33) (dual of [142, 66, 34]-code) [i]
31Linear OA(575, 140, F5, 33) (dual of [140, 65, 34]-code) [i]
32Linear OA(5107, 137, F5, 60) (dual of [137, 30, 61]-code) [i]Construction X with VarÅ¡amov Bound
33Linear OA(5107, 136, F5, 61) (dual of [136, 29, 62]-code) [i]
34Linear OA(5108, 138, F5, 61) (dual of [138, 30, 62]-code) [i]
35Linear OA(5108, 137, F5, 62) (dual of [137, 29, 63]-code) [i]
36Linear OA(5109, 139, F5, 62) (dual of [139, 30, 63]-code) [i]
37Linear OA(5109, 138, F5, 63) (dual of [138, 29, 64]-code) [i]
38Linear OA(5111, 141, F5, 63) (dual of [141, 30, 64]-code) [i]