Information on Result #615536
Linear OA(925, 729, F9, 10) (dual of [729, 704, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10
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(930, 739, F9, 10) (dual of [739, 709, 11]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(931, 745, F9, 10) (dual of [745, 714, 11]-code) | [i] | ||
| 3 | Linear OA(928, 747, F9, 10) (dual of [747, 719, 11]-code) | [i] | Varšamov–Edel Lengthening | |
| 4 | Linear OA(929, 782, F9, 10) (dual of [782, 753, 11]-code) | [i] | ||
| 5 | Linear OA(930, 867, F9, 10) (dual of [867, 837, 11]-code) | [i] | ||
| 6 | Linear OA(931, 1034, F9, 10) (dual of [1034, 1003, 11]-code) | [i] | ||
| 7 | Linear OA(928, 732, F9, 11) (dual of [732, 704, 12]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(926, 733, F9, 10) (dual of [733, 707, 11]-code) | [i] | ✔ | |
| 9 | Linear OA(932, 736, F9, 12) (dual of [736, 704, 13]-code) | [i] | ✔ | |
| 10 | Linear OA(927, 737, F9, 10) (dual of [737, 710, 11]-code) | [i] | ✔ | |
| 11 | Linear OA(936, 739, F9, 13) (dual of [739, 703, 14]-code) | [i] | ✔ | |
| 12 | Linear OA(937, 741, F9, 13) (dual of [741, 704, 14]-code) | [i] | ✔ | |
| 13 | Linear OA(928, 739, F9, 10) (dual of [739, 711, 11]-code) | [i] | ✔ | |
| 14 | Linear OA(929, 742, F9, 10) (dual of [742, 713, 11]-code) | [i] | ✔ | |
| 15 | Linear OA(927, 739, F9, 9) (dual of [739, 712, 10]-code) | [i] | ✔ | |
| 16 | Linear OA(941, 745, F9, 14) (dual of [745, 704, 15]-code) | [i] | ✔ | |
| 17 | Linear OA(930, 745, F9, 10) (dual of [745, 715, 11]-code) | [i] | ✔ | |
| 18 | Linear OA(931, 747, F9, 10) (dual of [747, 716, 11]-code) | [i] | ✔ | |
| 19 | Linear OA(946, 750, F9, 15) (dual of [750, 704, 16]-code) | [i] | ✔ | |
| 20 | Linear OA(950, 754, F9, 16) (dual of [754, 704, 17]-code) | [i] | ✔ | |
| 21 | Linear OA(955, 757, F9, 17) (dual of [757, 702, 18]-code) | [i] | ✔ | |
| 22 | Linear OA(956, 760, F9, 17) (dual of [760, 704, 18]-code) | [i] | ✔ | |
| 23 | Linear OA(963, 767, F9, 19) (dual of [767, 704, 20]-code) | [i] | ✔ | |
| 24 | Linear OA(961, 765, F9, 18) (dual of [765, 704, 19]-code) | [i] | ✔ | |
| 25 | Linear OA(967, 769, F9, 20) (dual of [769, 702, 21]-code) | [i] | ✔ | |
| 26 | Linear OA(962, 764, F9, 19) (dual of [764, 702, 20]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 27 | Linear OA(960, 762, F9, 18) (dual of [762, 702, 19]-code) | [i] | ✔ | |
| 28 | Linear OA(955, 758, F9, 17) (dual of [758, 703, 18]-code) | [i] | ✔ | |
| 29 | Linear OA(954, 756, F9, 17) (dual of [756, 702, 18]-code) | [i] | ✔ | |
| 30 | Linear OA(959, 765, F9, 17) (dual of [765, 706, 18]-code) | [i] | ✔ | |
| 31 | Linear OA(958, 763, F9, 17) (dual of [763, 705, 18]-code) | [i] | ✔ | |
| 32 | Linear OA(954, 761, F9, 16) (dual of [761, 707, 17]-code) | [i] | ✔ | |
| 33 | Linear OA(953, 759, F9, 16) (dual of [759, 706, 17]-code) | [i] | ✔ | |
| 34 | Linear OA(952, 757, F9, 16) (dual of [757, 705, 17]-code) | [i] | ✔ | |
| 35 | Linear OA(945, 747, F9, 15) (dual of [747, 702, 16]-code) | [i] | ✔ | |
| 36 | Linear OA(948, 753, F9, 15) (dual of [753, 705, 16]-code) | [i] | ✔ | |
| 37 | Linear OA(943, 748, F9, 14) (dual of [748, 705, 15]-code) | [i] | ✔ | |
| 38 | Linear OA(926, 740, F9, 8) (dual of [740, 714, 9]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 39 | Linear OOA(925, 243, F9, 3, 10) (dual of [(243, 3), 704, 11]-NRT-code) | [i] | OOA Folding | |