Information on Result #605054

Linear OA(75, 6, F7, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,7)), using dual of repetition code with length 6

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(733, 36, F7, 29) (dual of [36, 3, 30]-code) [i]Generalized (u, u+v)-Construction
2Linear OA(730, 36, F7, 23) (dual of [36, 6, 24]-code) [i]
3Linear OA(7108, 16825, F7, 22) (dual of [16825, 16717, 23]-code) [i]
4Linear OA(777, 16819, F7, 16) (dual of [16819, 16742, 17]-code) [i](u, u−v, u+v+w)-Construction
5Linear OA(790, 117661, F7, 16) (dual of [117661, 117571, 17]-code) [i]
6Linear OA(7103, 823555, F7, 16) (dual of [823555, 823452, 17]-code) [i]
7Linear OA(736, 62, F7, 19) (dual of [62, 26, 20]-code) [i]Construction XX with a Chain of Cyclic Codes
8Linear OA(7108, 117, F7, 79) (dual of [117, 9, 80]-code) [i]Construction X with VarÅ¡amov Bound
9Linear OA(7109, 118, F7, 80) (dual of [118, 9, 81]-code) [i]
10Linear OA(7110, 118, F7, 82) (dual of [118, 8, 83]-code) [i]
11Linear OA(7110, 119, F7, 81) (dual of [119, 9, 82]-code) [i]
12Linear OA(797, 106, F7, 71) (dual of [106, 9, 72]-code) [i]
13Linear OA(797, 107, F7, 70) (dual of [107, 10, 71]-code) [i]