Information on Result #615774
Linear OA(970, 729, F9, 26) (dual of [729, 659, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26
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(983, 743, F9, 26) (dual of [743, 660, 27]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(984, 745, F9, 26) (dual of [745, 661, 27]-code) | [i] | ||
| 3 | Linear OA(985, 749, F9, 26) (dual of [749, 664, 27]-code) | [i] | ||
| 4 | Linear OA(986, 757, F9, 26) (dual of [757, 671, 27]-code) | [i] | ||
| 5 | Linear OA(987, 759, F9, 26) (dual of [759, 672, 27]-code) | [i] | ||
| 6 | Linear OA(988, 761, F9, 26) (dual of [761, 673, 27]-code) | [i] | ||
| 7 | Linear OA(987, 747, F9, 26) (dual of [747, 660, 27]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 8 | Linear OA(988, 749, F9, 26) (dual of [749, 661, 27]-code) | [i] | ||
| 9 | Linear OA(974, 733, F9, 28) (dual of [733, 659, 29]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(970, 732, F9, 26) (dual of [732, 662, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(978, 737, F9, 29) (dual of [737, 659, 30]-code) | [i] | ✔ | |
| 12 | Linear OA(971, 736, F9, 26) (dual of [736, 665, 27]-code) | [i] | ✔ | |
| 13 | Linear OA(982, 739, F9, 30) (dual of [739, 657, 31]-code) | [i] | ✔ | |
| 14 | Linear OA(983, 742, F9, 30) (dual of [742, 659, 31]-code) | [i] | ✔ | |
| 15 | Linear OA(972, 739, F9, 26) (dual of [739, 667, 27]-code) | [i] | ✔ | |
| 16 | Linear OA(973, 741, F9, 26) (dual of [741, 668, 27]-code) | [i] | ✔ | |
| 17 | Linear OA(987, 745, F9, 31) (dual of [745, 658, 32]-code) | [i] | ✔ | |
| 18 | Linear OA(988, 747, F9, 31) (dual of [747, 659, 32]-code) | [i] | ✔ | |
| 19 | Linear OA(974, 745, F9, 26) (dual of [745, 671, 27]-code) | [i] | ✔ | |
| 20 | Linear OA(992, 751, F9, 32) (dual of [751, 659, 33]-code) | [i] | ✔ | |
| 21 | Linear OA(976, 750, F9, 26) (dual of [750, 674, 27]-code) | [i] | ✔ | |
| 22 | Linear OA(997, 756, F9, 33) (dual of [756, 659, 34]-code) | [i] | ✔ | |
| 23 | Linear OA(977, 754, F9, 26) (dual of [754, 677, 27]-code) | [i] | ✔ | |
| 24 | Linear OA(9102, 759, F9, 34) (dual of [759, 657, 35]-code) | [i] | ✔ | |
| 25 | Linear OA(9103, 762, F9, 34) (dual of [762, 659, 35]-code) | [i] | ✔ | |
| 26 | Linear OA(979, 757, F9, 26) (dual of [757, 678, 27]-code) | [i] | ✔ | |
| 27 | Linear OA(980, 760, F9, 26) (dual of [760, 680, 27]-code) | [i] | ✔ | |
| 28 | Linear OA(9108, 767, F9, 35) (dual of [767, 659, 36]-code) | [i] | ✔ | |
| 29 | Linear OA(984, 767, F9, 26) (dual of [767, 683, 27]-code) | [i] | ✔ | |
| 30 | Linear OA(9114, 773, F9, 37) (dual of [773, 659, 38]-code) | [i] | ✔ | |
| 31 | Linear OA(985, 769, F9, 26) (dual of [769, 684, 27]-code) | [i] | ✔ | |
| 32 | Linear OA(986, 772, F9, 26) (dual of [772, 686, 27]-code) | [i] | ✔ | |
| 33 | Linear OA(9118, 777, F9, 38) (dual of [777, 659, 39]-code) | [i] | ✔ | |
| 34 | Linear OA(987, 776, F9, 26) (dual of [776, 689, 27]-code) | [i] | ✔ | |
| 35 | Linear OA(9123, 782, F9, 39) (dual of [782, 659, 40]-code) | [i] | ✔ | |
| 36 | Linear OA(988, 780, F9, 26) (dual of [780, 692, 27]-code) | [i] | ✔ | |
| 37 | Linear OA(9128, 787, F9, 40) (dual of [787, 659, 41]-code) | [i] | ✔ | |
| 38 | Linear OA(9133, 792, F9, 41) (dual of [792, 659, 42]-code) | [i] | ✔ | |
| 39 | Linear OA(9138, 797, F9, 42) (dual of [797, 659, 43]-code) | [i] | ✔ | |
| 40 | Linear OA(9143, 802, F9, 43) (dual of [802, 659, 44]-code) | [i] | ✔ | |
| 41 | Linear OA(9147, 806, F9, 44) (dual of [806, 659, 45]-code) | [i] | ✔ | |
| 42 | Linear OA(9107, 764, F9, 35) (dual of [764, 657, 36]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 43 | Linear OA(9107, 765, F9, 35) (dual of [765, 658, 36]-code) | [i] | ✔ | |
| 44 | Linear OA(9106, 763, F9, 35) (dual of [763, 657, 36]-code) | [i] | ✔ | |
| 45 | Linear OA(9102, 761, F9, 34) (dual of [761, 659, 35]-code) | [i] | ✔ | |
| 46 | Linear OA(9101, 759, F9, 34) (dual of [759, 658, 35]-code) | [i] | ✔ | |
| 47 | Linear OA(9100, 757, F9, 34) (dual of [757, 657, 35]-code) | [i] | ✔ | |
| 48 | Linear OA(996, 753, F9, 33) (dual of [753, 657, 34]-code) | [i] | ✔ | |
| 49 | Linear OA(998, 758, F9, 33) (dual of [758, 660, 34]-code) | [i] | ✔ | |
| 50 | Linear OA(991, 748, F9, 32) (dual of [748, 657, 33]-code) | [i] | ✔ | |
| 51 | Linear OA(993, 753, F9, 32) (dual of [753, 660, 33]-code) | [i] | ✔ | |
| 52 | Linear OA(975, 747, F9, 26) (dual of [747, 672, 27]-code) | [i] | ✔ | |
| 53 | Linear OA(979, 758, F9, 26) (dual of [758, 679, 27]-code) | [i] | ✔ | |
| 54 | Linear OA(978, 756, F9, 26) (dual of [756, 678, 27]-code) | [i] | ✔ | |
| 55 | Linear OA(983, 765, F9, 26) (dual of [765, 682, 27]-code) | [i] | ✔ | |
| 56 | Linear OA(982, 763, F9, 26) (dual of [763, 681, 27]-code) | [i] | ✔ | |