Information on Result #606187

Linear OA(1287, 8, F128, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,128)), using dual of repetition code with length 8

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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(12865, 16409, F128, 23) (dual of [16409, 16344, 24]-code) [i]Generalized (u, u+v)-Construction
2Linear OA(12863, 16408, F128, 22) (dual of [16408, 16345, 23]-code) [i]
3Linear OA(12858, 16400, F128, 22) (dual of [16400, 16342, 23]-code) [i](u, u−v, u+v+w)-Construction
4Linear OA(12824, 137, F128, 17) (dual of [137, 113, 18]-code) [i]Construction X with Cyclic Codes
5Linear OA(12820, 2097161, F128, 7) (dual of [2097161, 2097141, 8]-code) [i]Construction X4 with Cyclic Codes
6Linear OA(12814, 2097161, F128, 5) (dual of [2097161, 2097147, 6]-code) [i]
7Linear OA(12817, 2097160, F128, 6) (dual of [2097160, 2097143, 7]-code) [i]Construction X4 with Extended Narrow-Sense BCH Codes
8Linear OA(12811, 2097160, F128, 4) (dual of [2097160, 2097149, 5]-code) [i]