Information on Result #615509
Linear OA(922, 729, F9, 8) (dual of [729, 707, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, 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(926, 739, F9, 8) (dual of [739, 713, 9]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(927, 745, F9, 8) (dual of [745, 718, 9]-code) | [i] | ||
| 3 | Linear OA(927, 735, F9, 8) (dual of [735, 708, 9]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 4 | Linear OA(926, 733, F9, 10) (dual of [733, 707, 11]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(922, 732, F9, 8) (dual of [732, 710, 9]-code) | [i] | ✔ | |
| 6 | Linear OA(930, 737, F9, 11) (dual of [737, 707, 12]-code) | [i] | ✔ | |
| 7 | Linear OA(923, 736, F9, 8) (dual of [736, 713, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(934, 739, F9, 12) (dual of [739, 705, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(935, 742, F9, 12) (dual of [742, 707, 13]-code) | [i] | ✔ | |
| 10 | Linear OA(924, 739, F9, 8) (dual of [739, 715, 9]-code) | [i] | ✔ | |
| 11 | Linear OA(925, 741, F9, 8) (dual of [741, 716, 9]-code) | [i] | ✔ | |
| 12 | Linear OA(939, 745, F9, 13) (dual of [745, 706, 14]-code) | [i] | ✔ | |
| 13 | Linear OA(940, 747, F9, 13) (dual of [747, 707, 14]-code) | [i] | ✔ | |
| 14 | Linear OA(926, 745, F9, 8) (dual of [745, 719, 9]-code) | [i] | ✔ | |
| 15 | Linear OA(944, 751, F9, 14) (dual of [751, 707, 15]-code) | [i] | ✔ | |
| 16 | Linear OA(949, 756, F9, 15) (dual of [756, 707, 16]-code) | [i] | ✔ | |
| 17 | Linear OA(954, 759, F9, 16) (dual of [759, 705, 17]-code) | [i] | ✔ | |
| 18 | Linear OA(955, 762, F9, 16) (dual of [762, 707, 17]-code) | [i] | ✔ | |
| 19 | Linear OA(959, 764, F9, 17) (dual of [764, 705, 18]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 20 | Linear OA(959, 765, F9, 17) (dual of [765, 706, 18]-code) | [i] | ✔ | |
| 21 | Linear OA(958, 763, F9, 17) (dual of [763, 705, 18]-code) | [i] | ✔ | |
| 22 | Linear OA(954, 761, F9, 16) (dual of [761, 707, 17]-code) | [i] | ✔ | |
| 23 | Linear OA(953, 759, F9, 16) (dual of [759, 706, 17]-code) | [i] | ✔ | |
| 24 | Linear OA(952, 757, F9, 16) (dual of [757, 705, 17]-code) | [i] | ✔ | |
| 25 | Linear OA(948, 753, F9, 15) (dual of [753, 705, 16]-code) | [i] | ✔ | |
| 26 | Linear OA(950, 758, F9, 15) (dual of [758, 708, 16]-code) | [i] | ✔ | |
| 27 | Linear OA(943, 748, F9, 14) (dual of [748, 705, 15]-code) | [i] | ✔ | |
| 28 | Linear OA(945, 753, F9, 14) (dual of [753, 708, 15]-code) | [i] | ✔ | |
| 29 | Linear OA(927, 747, F9, 8) (dual of [747, 720, 9]-code) | [i] | ✔ | |