Information on Result #614312
Linear OA(749, 117649, F7, 10) (dual of [117649, 117600, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10
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 | Linear OA(754, 117657, F7, 10) (dual of [117657, 117603, 11]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(755, 117660, F7, 10) (dual of [117660, 117605, 11]-code) | [i] | ||
| 3 | Linear OOA(749, 73808, F7, 2, 10) (dual of [(73808, 2), 147567, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(749, 73808, F7, 3, 10) (dual of [(73808, 3), 221375, 11]-NRT-code) | [i] | ||
| 5 | Digital (39, 49, 73808)-net over F7 | [i] | ||
| 6 | Linear OA(755, 117655, F7, 11) (dual of [117655, 117600, 12]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(749, 117655, F7, 10) (dual of [117655, 117606, 11]-code) | [i] | ✔ | |
| 8 | Linear OA(762, 117662, F7, 12) (dual of [117662, 117600, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(750, 117662, F7, 10) (dual of [117662, 117612, 11]-code) | [i] | ✔ | |
| 10 | Linear OA(770, 117670, F7, 13) (dual of [117670, 117600, 14]-code) | [i] | ✔ | |
| 11 | Linear OA(753, 117671, F7, 10) (dual of [117671, 117618, 11]-code) | [i] | ✔ | |
| 12 | Linear OA(779, 117679, F7, 15) (dual of [117679, 117600, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(777, 117677, F7, 14) (dual of [117677, 117600, 15]-code) | [i] | ✔ | |
| 14 | Linear OA(755, 117679, F7, 10) (dual of [117679, 117624, 11]-code) | [i] | ✔ | |
| 15 | Linear OA(786, 117686, F7, 16) (dual of [117686, 117600, 17]-code) | [i] | ✔ | |
| 16 | Linear OA(796, 117696, F7, 17) (dual of [117696, 117600, 18]-code) | [i] | ✔ | |
| 17 | Linear OA(778, 117673, F7, 15) (dual of [117673, 117595, 16]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 18 | Linear OA(778, 117679, F7, 14) (dual of [117679, 117601, 15]-code) | [i] | ✔ | |
| 19 | Linear OA(754, 117673, F7, 10) (dual of [117673, 117619, 11]-code) | [i] | ✔ | |
| 20 | Linear OA(762, 117663, F7, 12) (dual of [117663, 117601, 13]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 21 | Linear OA(750, 117663, F7, 10) (dual of [117663, 117613, 11]-code) | [i] | ✔ | |