Information on Result #605085

Linear OA(736, 37, F7, 36) (dual of [37, 1, 37]-code or 37-arc in PG(35,7)), using dual of repetition code with length 37

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(736, 37, F7, 35) (dual of [37, 1, 36]-code) [i]Strength Reduction
2Linear OA(736, 37, F7, 34) (dual of [37, 1, 35]-code) [i]
3Linear OA(736, 37, F7, 33) (dual of [37, 1, 34]-code) [i]
4Linear OA(756, 71, F7, 36) (dual of [71, 15, 37]-code) [i]VarÅ¡amov–Edel Lengthening
5Linear OA(757, 74, F7, 36) (dual of [74, 17, 37]-code) [i]
6Linear OA(758, 77, F7, 36) (dual of [77, 19, 37]-code) [i]
7Linear OA(768, 120, F7, 36) (dual of [120, 52, 37]-code) [i]
8Linear OA(788, 327, F7, 36) (dual of [327, 239, 37]-code) [i]
9Linear OA(792, 404, F7, 36) (dual of [404, 312, 37]-code) [i]
10Linear OA(793, 426, F7, 36) (dual of [426, 333, 37]-code) [i]
11Linear OA(795, 474, F7, 36) (dual of [474, 379, 37]-code) [i]
12Linear OA(796, 500, F7, 36) (dual of [500, 404, 37]-code) [i]
13Linear OA(7104, 770, F7, 36) (dual of [770, 666, 37]-code) [i]
14Linear OA(7105, 813, F7, 36) (dual of [813, 708, 37]-code) [i]
15Linear OA(7109, 1011, F7, 36) (dual of [1011, 902, 37]-code) [i]