Information on Result #606804
Linear OA(83, 9, F8, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,8) or 9-cap in PG(2,8)), using extended Reed–Solomon code RSe(6,8)
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.
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(886, 92, F8, 67) (dual of [92, 6, 68]-code) | [i] | Juxtaposition | |
| 2 | Linear OA(8120, 126, F8, 99) (dual of [126, 6, 100]-code) | [i] | ||
| 3 | Linear OA(854, 32786, F8, 11) (dual of [32786, 32732, 12]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 4 | Linear OA(872, 2097170, F8, 11) (dual of [2097170, 2097098, 12]-code) | [i] | ||
| 5 | Linear OA(8172, 522, F8, 65) (dual of [522, 350, 66]-code) | [i] | Construction X with Cyclic Codes | |
| 6 | Linear OA(8130, 522, F8, 49) (dual of [522, 392, 50]-code) | [i] | ||
| 7 | Linear OA(888, 522, F8, 33) (dual of [522, 434, 34]-code) | [i] | ||
| 8 | Linear OA(846, 522, F8, 17) (dual of [522, 476, 18]-code) | [i] | ||
| 9 | Linear OA(882, 92, F8, 57) (dual of [92, 10, 58]-code) | [i] | Construction XX with Cyclic Codes | |
| 10 | Linear OA(865, 86, F8, 40) (dual of [86, 21, 41]-code) | [i] | ||
| 11 | Linear OA(8172, 521, F8, 66) (dual of [521, 349, 67]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 12 | Linear OA(842, 73, F8, 25) (dual of [73, 31, 26]-code) | [i] | ||
| 13 | Linear OA(831, 73, F8, 17) (dual of [73, 42, 18]-code) | [i] | ||