Information on Result #614292
Linear OA(731, 16807, F7, 8) (dual of [16807, 16776, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, 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(730, 16806, F7, 7) (dual of [16806, 16776, 8]-code) | [i] | Truncation | |
| 2 | Linear OA(735, 16815, F7, 8) (dual of [16815, 16780, 9]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(736, 16818, F7, 8) (dual of [16818, 16782, 9]-code) | [i] | ||
| 4 | Linear OA(736, 16813, F7, 8) (dual of [16813, 16777, 9]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(736, 16812, F7, 9) (dual of [16812, 16776, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(732, 16813, F7, 8) (dual of [16813, 16781, 9]-code) | [i] | ✔ | |
| 7 | Linear OA(742, 16818, F7, 10) (dual of [16818, 16776, 11]-code) | [i] | ✔ | |
| 8 | Linear OA(733, 16815, F7, 8) (dual of [16815, 16782, 9]-code) | [i] | ✔ | |
| 9 | Linear OA(734, 16820, F7, 8) (dual of [16820, 16786, 9]-code) | [i] | ✔ | |
| 10 | Linear OA(749, 16825, F7, 11) (dual of [16825, 16776, 12]-code) | [i] | ✔ | |
| 11 | Linear OA(735, 16826, F7, 8) (dual of [16826, 16791, 9]-code) | [i] | ✔ | |
| 12 | Linear OA(755, 16831, F7, 12) (dual of [16831, 16776, 13]-code) | [i] | ✔ | |
| 13 | Linear OA(762, 16838, F7, 13) (dual of [16838, 16776, 14]-code) | [i] | ✔ | |
| 14 | Linear OA(772, 16848, F7, 15) (dual of [16848, 16776, 16]-code) | [i] | ✔ | |
| 15 | Linear OA(768, 16844, F7, 14) (dual of [16844, 16776, 15]-code) | [i] | ✔ | |
| 16 | Linear OA(778, 16854, F7, 16) (dual of [16854, 16776, 17]-code) | [i] | ✔ | |
| 17 | Linear OA(761, 16833, F7, 13) (dual of [16833, 16772, 14]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 18 | Linear OA(757, 16834, F7, 12) (dual of [16834, 16777, 13]-code) | [i] | ✔ | |
| 19 | Linear OA(751, 16828, F7, 11) (dual of [16828, 16777, 12]-code) | [i] | ✔ | |
| 20 | Linear OA(736, 16828, F7, 8) (dual of [16828, 16792, 9]-code) | [i] | ✔ | |
| 21 | Linear OA(742, 16819, F7, 10) (dual of [16819, 16777, 11]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 22 | Linear OOA(731, 8403, F7, 2, 8) (dual of [(8403, 2), 16775, 9]-NRT-code) | [i] | OOA Folding | |
| 23 | Linear OOA(731, 5602, F7, 3, 8) (dual of [(5602, 3), 16775, 9]-NRT-code) | [i] | ||
| 24 | Linear OOA(731, 4201, F7, 8, 8) (dual of [(4201, 8), 33577, 9]-NRT-code) | [i] | OA Folding and Stacking | |