Information on Result #615559
Linear OA(931, 729, F9, 12) (dual of [729, 698, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, 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(937, 739, F9, 12) (dual of [739, 702, 13]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(938, 746, F9, 12) (dual of [746, 708, 13]-code) | [i] | ||
| 3 | Linear OA(939, 749, F9, 12) (dual of [749, 710, 13]-code) | [i] | ||
| 4 | Linear OA(934, 732, F9, 13) (dual of [732, 698, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(931, 732, F9, 12) (dual of [732, 701, 13]-code) | [i] | ✔ | |
| 6 | Linear OA(938, 736, F9, 14) (dual of [736, 698, 15]-code) | [i] | ✔ | |
| 7 | Linear OA(932, 736, F9, 12) (dual of [736, 704, 13]-code) | [i] | ✔ | |
| 8 | Linear OA(942, 739, F9, 15) (dual of [739, 697, 16]-code) | [i] | ✔ | |
| 9 | Linear OA(943, 741, F9, 15) (dual of [741, 698, 16]-code) | [i] | ✔ | |
| 10 | Linear OA(934, 739, F9, 12) (dual of [739, 705, 13]-code) | [i] | ✔ | |
| 11 | Linear OA(935, 742, F9, 12) (dual of [742, 707, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(947, 745, F9, 16) (dual of [745, 698, 17]-code) | [i] | ✔ | |
| 13 | Linear OA(936, 745, F9, 12) (dual of [745, 709, 13]-code) | [i] | ✔ | |
| 14 | Linear OA(937, 747, F9, 12) (dual of [747, 710, 13]-code) | [i] | ✔ | |
| 15 | Linear OA(952, 750, F9, 17) (dual of [750, 698, 18]-code) | [i] | ✔ | |
| 16 | Linear OA(938, 751, F9, 12) (dual of [751, 713, 13]-code) | [i] | ✔ | |
| 17 | Linear OA(958, 756, F9, 19) (dual of [756, 698, 20]-code) | [i] | ✔ | |
| 18 | Linear OA(956, 754, F9, 18) (dual of [754, 698, 19]-code) | [i] | ✔ | |
| 19 | Linear OA(963, 759, F9, 20) (dual of [759, 696, 21]-code) | [i] | ✔ | |
| 20 | Linear OA(964, 762, F9, 20) (dual of [762, 698, 21]-code) | [i] | ✔ | |
| 21 | Linear OA(968, 764, F9, 21) (dual of [764, 696, 22]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 22 | Linear OA(962, 758, F9, 20) (dual of [758, 696, 21]-code) | [i] | ✔ | |
| 23 | Linear OA(965, 764, F9, 20) (dual of [764, 699, 21]-code) | [i] | ✔ | |
| 24 | Linear OA(957, 753, F9, 19) (dual of [753, 696, 20]-code) | [i] | ✔ | |
| 25 | Linear OA(958, 758, F9, 18) (dual of [758, 700, 19]-code) | [i] | ✔ | |
| 26 | Linear OA(957, 756, F9, 18) (dual of [756, 699, 19]-code) | [i] | ✔ | |
| 27 | Linear OA(951, 747, F9, 17) (dual of [747, 696, 18]-code) | [i] | ✔ | |
| 28 | Linear OA(948, 747, F9, 16) (dual of [747, 699, 17]-code) | [i] | ✔ | |
| 29 | Linear OA(939, 753, F9, 12) (dual of [753, 714, 13]-code) | [i] | ✔ | |