Information on Result #614337
Linear OA(761, 117649, F7, 12) (dual of [117649, 117588, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12
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(767, 117657, F7, 12) (dual of [117657, 117590, 13]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(761, 88794, F7, 2, 12) (dual of [(88794, 2), 177527, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(761, 88794, F7, 3, 12) (dual of [(88794, 3), 266321, 13]-NRT-code) | [i] | ||
| 4 | Digital (49, 61, 88794)-net over F7 | [i] | ||
| 5 | Linear OA(767, 117655, F7, 13) (dual of [117655, 117588, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(761, 117655, F7, 12) (dual of [117655, 117594, 13]-code) | [i] | ✔ | |
| 7 | Linear OA(774, 117662, F7, 14) (dual of [117662, 117588, 15]-code) | [i] | ✔ | |
| 8 | Linear OA(776, 117664, F7, 15) (dual of [117664, 117588, 16]-code) | [i] | ✔ | |
| 9 | Linear OA(762, 117662, F7, 12) (dual of [117662, 117600, 13]-code) | [i] | ✔ | |
| 10 | Linear OA(783, 117671, F7, 16) (dual of [117671, 117588, 17]-code) | [i] | ✔ | |
| 11 | Linear OA(764, 117670, F7, 12) (dual of [117670, 117606, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(791, 117679, F7, 17) (dual of [117679, 117588, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(765, 117677, F7, 12) (dual of [117677, 117612, 13]-code) | [i] | ✔ | |
| 14 | Linear OA(798, 117686, F7, 18) (dual of [117686, 117588, 19]-code) | [i] | ✔ | |
| 15 | Linear OA(7108, 117696, F7, 19) (dual of [117696, 117588, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(790, 117673, F7, 17) (dual of [117673, 117583, 18]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 17 | Linear OA(784, 117673, F7, 16) (dual of [117673, 117589, 17]-code) | [i] | ✔ | |
| 18 | Linear OA(775, 117658, F7, 15) (dual of [117658, 117583, 16]-code) | [i] | ✔ | |
| 19 | Linear OA(775, 117664, F7, 14) (dual of [117664, 117589, 15]-code) | [i] | ✔ | |
| 20 | Linear OA(767, 117680, F7, 12) (dual of [117680, 117613, 13]-code) | [i] | ✔ | |
| 21 | Linear OA(762, 117663, F7, 12) (dual of [117663, 117601, 13]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |