Information on Result #606350
Linear OA(87, 8, F8, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,8)), using Reed–Solomon code RS(1,8)
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8159, 32792, F8, 31) (dual of [32792, 32633, 32]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(8154, 32792, F8, 30) (dual of [32792, 32638, 31]-code) | [i] | ||
| 3 | Linear OA(8111, 32784, F8, 22) (dual of [32784, 32673, 23]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 4 | Linear OA(8149, 2097168, F8, 22) (dual of [2097168, 2097019, 23]-code) | [i] | ||
| 5 | Linear OA(877, 81, F8, 63) (dual of [81, 4, 64]-code) | [i] | Construction X with Cyclic Codes | |
| 6 | Linear OA(820, 521, F8, 7) (dual of [521, 501, 8]-code) | [i] | Construction X4 with Cyclic Codes | |
| 7 | Linear OA(817, 520, F8, 6) (dual of [520, 503, 7]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 8 | Linear OA(8115, 126, F8, 85) (dual of [126, 11, 86]-code) | [i] | Construction X with Varšamov Bound | |
| 9 | Linear OA(8129, 139, F8, 97) (dual of [139, 10, 98]-code) | [i] | ||