Information on Result #614293
Linear OA(737, 117649, F7, 8) (dual of [117649, 117612, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(741, 117657, F7, 8) (dual of [117657, 117616, 9]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(742, 117660, F7, 8) (dual of [117660, 117618, 9]-code) | [i] | ||
| 3 | Linear OA(742, 117655, F7, 8) (dual of [117655, 117613, 9]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 4 | Linear OA(743, 117655, F7, 9) (dual of [117655, 117612, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(738, 117656, F7, 8) (dual of [117656, 117618, 9]-code) | [i] | ✔ | |
| 6 | Linear OA(750, 117662, F7, 10) (dual of [117662, 117612, 11]-code) | [i] | ✔ | |
| 7 | Linear OA(740, 117664, F7, 8) (dual of [117664, 117624, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(758, 117670, F7, 11) (dual of [117670, 117612, 12]-code) | [i] | ✔ | |
| 9 | Linear OA(741, 117671, F7, 8) (dual of [117671, 117630, 9]-code) | [i] | ✔ | |
| 10 | Linear OA(765, 117677, F7, 12) (dual of [117677, 117612, 13]-code) | [i] | ✔ | |
| 11 | Linear OA(773, 117685, F7, 13) (dual of [117685, 117612, 14]-code) | [i] | ✔ | |
| 12 | Linear OA(784, 117696, F7, 15) (dual of [117696, 117612, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(772, 117679, F7, 13) (dual of [117679, 117607, 14]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 14 | Linear OA(767, 117680, F7, 12) (dual of [117680, 117613, 13]-code) | [i] | ✔ | |
| 15 | Linear OA(760, 117673, F7, 11) (dual of [117673, 117613, 12]-code) | [i] | ✔ | |
| 16 | Linear OA(745, 117658, F7, 9) (dual of [117658, 117613, 10]-code) | [i] | ✔ | |
| 17 | Linear OA(739, 117658, F7, 8) (dual of [117658, 117619, 9]-code) | [i] | ✔ | |
| 18 | Linear OA(742, 117673, F7, 8) (dual of [117673, 117631, 9]-code) | [i] | ✔ | |
| 19 | Linear OA(750, 117663, F7, 10) (dual of [117663, 117613, 11]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 20 | Linear OOA(737, 58824, F7, 2, 8) (dual of [(58824, 2), 117611, 9]-NRT-code) | [i] | OOA Folding | |
| 21 | Linear OOA(737, 39216, F7, 3, 8) (dual of [(39216, 3), 117611, 9]-NRT-code) | [i] | ||
| 22 | Linear OOA(737, 29412, F7, 8, 8) (dual of [(29412, 8), 235259, 9]-NRT-code) | [i] | OA Folding and Stacking | |