Information on Result #607110
Linear OA(12816, 129, F128, 16) (dual of [129, 113, 17]-code or 129-arc in PG(15,128)), using extended Reed–Solomon code RSe(113,128)
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OA(1628, 129, S16, 16) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(3223, 129, S32, 16) | [i] | ||
| 3 | OA(6419, 129, S64, 16) | [i] | ||
| 4 | Linear OA(12852, 321, F128, 33) (dual of [321, 269, 34]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(12854, 345, F128, 33) (dual of [345, 291, 34]-code) | [i] | ||
| 6 | Linear OA(12858, 417, F128, 33) (dual of [417, 359, 34]-code) | [i] | ||
| 7 | Linear OA(12851, 321, F128, 32) (dual of [321, 270, 33]-code) | [i] | ||
| 8 | Linear OA(12857, 417, F128, 32) (dual of [417, 360, 33]-code) | [i] | ||
| 9 | Linear OA(12824, 258, F128, 16) (dual of [258, 234, 17]-code) | [i] | ||
| 10 | OA(12854, 386, S128, 33) | [i] | ||
| 11 | OA(12853, 386, S128, 32) | [i] | ||
| 12 | Linear OA(12861, 408, F128, 33) (dual of [408, 347, 34]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 13 | Linear OA(12859, 408, F128, 32) (dual of [408, 349, 33]-code) | [i] | ||
| 14 | Linear OA(12829, 387, F128, 16) (dual of [387, 358, 17]-code) | [i] | ||
| 15 | Linear OA(12828, 442, F128, 16) (dual of [442, 414, 17]-code) | [i] | Varšamov–Edel Lengthening | |