Information on Result #614325
Linear OA(755, 117649, F7, 11) (dual of [117649, 117594, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11
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(760, 117657, F7, 11) (dual of [117657, 117597, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(761, 117660, F7, 11) (dual of [117660, 117599, 12]-code) | [i] | ||
| 3 | Linear OOA(755, 81313, F7, 2, 11) (dual of [(81313, 2), 162571, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(755, 81313, F7, 3, 11) (dual of [(81313, 3), 243884, 12]-NRT-code) | [i] | ||
| 5 | Digital (44, 55, 81313)-net over F7 | [i] | ||
| 6 | Linear OA(761, 117655, F7, 12) (dual of [117655, 117594, 13]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(755, 117655, F7, 11) (dual of [117655, 117600, 12]-code) | [i] | ✔ | |
| 8 | Linear OA(768, 117662, F7, 13) (dual of [117662, 117594, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(756, 117662, F7, 11) (dual of [117662, 117606, 12]-code) | [i] | ✔ | |
| 10 | Linear OA(777, 117671, F7, 15) (dual of [117671, 117594, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(758, 117670, F7, 11) (dual of [117670, 117612, 12]-code) | [i] | ✔ | |
| 12 | Linear OA(785, 117679, F7, 16) (dual of [117679, 117594, 17]-code) | [i] | ✔ | |
| 13 | Linear OA(761, 117679, F7, 11) (dual of [117679, 117618, 12]-code) | [i] | ✔ | |
| 14 | Linear OA(792, 117686, F7, 17) (dual of [117686, 117594, 18]-code) | [i] | ✔ | |
| 15 | Linear OA(7102, 117696, F7, 18) (dual of [117696, 117594, 19]-code) | [i] | ✔ | |
| 16 | Linear OA(784, 117673, F7, 16) (dual of [117673, 117589, 17]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 17 | Linear OA(775, 117664, F7, 14) (dual of [117664, 117589, 15]-code) | [i] | ✔ | |
| 18 | Linear OA(778, 117673, F7, 15) (dual of [117673, 117595, 16]-code) | [i] | ✔ | |
| 19 | Linear OA(760, 117673, F7, 11) (dual of [117673, 117613, 12]-code) | [i] | ✔ | |
| 20 | Linear OA(768, 117663, F7, 13) (dual of [117663, 117595, 14]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 21 | Linear OA(756, 117663, F7, 11) (dual of [117663, 117607, 12]-code) | [i] | ✔ | |