Information on Result #612247
Linear OA(3154, 729, F3, 40) (dual of [729, 575, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40
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(3174, 750, F3, 40) (dual of [750, 576, 41]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3180, 757, F3, 40) (dual of [757, 577, 41]-code) | [i] | ||
| 3 | Linear OA(3181, 757, F3, 40) (dual of [757, 576, 41]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 4 | Linear OA(3162, 769, F3, 40) (dual of [769, 607, 41]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(3163, 785, F3, 40) (dual of [785, 622, 41]-code) | [i] | ||
| 6 | Linear OA(3164, 804, F3, 40) (dual of [804, 640, 41]-code) | [i] | ||
| 7 | Linear OA(3165, 824, F3, 40) (dual of [824, 659, 41]-code) | [i] | ||
| 8 | Linear OA(3167, 870, F3, 40) (dual of [870, 703, 41]-code) | [i] | ||
| 9 | Linear OA(3160, 735, F3, 41) (dual of [735, 575, 42]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(3155, 736, F3, 40) (dual of [736, 581, 41]-code) | [i] | ✔ | |
| 11 | Linear OA(3167, 742, F3, 42) (dual of [742, 575, 43]-code) | [i] | ✔ | |
| 12 | Linear OA(3169, 742, F3, 43) (dual of [742, 573, 44]-code) | [i] | ✔ | |
| 13 | Linear OA(3170, 745, F3, 43) (dual of [745, 575, 44]-code) | [i] | ✔ | |
| 14 | Linear OA(3155, 742, F3, 39) (dual of [742, 587, 40]-code) | [i] | ✔ | |
| 15 | Linear OA(3157, 742, F3, 40) (dual of [742, 585, 41]-code) | [i] | ✔ | |
| 16 | Linear OA(3158, 745, F3, 40) (dual of [745, 587, 41]-code) | [i] | ✔ | |
| 17 | Linear OA(3177, 749, F3, 44) (dual of [749, 572, 45]-code) | [i] | ✔ | |
| 18 | Linear OA(3178, 753, F3, 44) (dual of [753, 575, 45]-code) | [i] | ✔ | |
| 19 | Linear OA(3161, 754, F3, 40) (dual of [754, 593, 41]-code) | [i] | ✔ | |
| 20 | Linear OA(3159, 749, F3, 39) (dual of [749, 590, 40]-code) | [i] | ✔ | |
| 21 | Linear OA(3186, 757, F3, 46) (dual of [757, 571, 47]-code) | [i] | ✔ | |
| 22 | Linear OA(3188, 763, F3, 46) (dual of [763, 575, 47]-code) | [i] | ✔ | |
| 23 | Linear OA(3186, 761, F3, 45) (dual of [761, 575, 46]-code) | [i] | ✔ | |
| 24 | Linear OA(3162, 757, F3, 40) (dual of [757, 595, 41]-code) | [i] | ✔ | |
| 25 | Linear OA(3164, 763, F3, 40) (dual of [763, 599, 41]-code) | [i] | ✔ | |
| 26 | Linear OA(3162, 761, F3, 39) (dual of [761, 599, 40]-code) | [i] | ✔ | |
| 27 | Linear OA(3198, 769, F3, 47) (dual of [769, 571, 48]-code) | [i] | ✔ | |
| 28 | Linear OA(3199, 771, F3, 47) (dual of [771, 572, 48]-code) | [i] | ✔ | |
| 29 | Linear OA(3200, 775, F3, 47) (dual of [775, 575, 48]-code) | [i] | ✔ | |
| 30 | Linear OA(3169, 770, F3, 40) (dual of [770, 601, 41]-code) | [i] | ✔ | |
| 31 | Linear OA(3170, 772, F3, 40) (dual of [772, 602, 41]-code) | [i] | ✔ | |
| 32 | Linear OA(3171, 776, F3, 40) (dual of [776, 605, 41]-code) | [i] | ✔ | |
| 33 | Linear OA(3211, 786, F3, 49) (dual of [786, 575, 50]-code) | [i] | ✔ | |
| 34 | Linear OA(3207, 782, F3, 48) (dual of [782, 575, 49]-code) | [i] | ✔ | |
| 35 | Linear OA(3175, 786, F3, 40) (dual of [786, 611, 41]-code) | [i] | ✔ | |
| 36 | Linear OA(3171, 782, F3, 39) (dual of [782, 611, 40]-code) | [i] | ✔ | |
| 37 | Linear OA(3220, 795, F3, 50) (dual of [795, 575, 51]-code) | [i] | ✔ | |
| 38 | Linear OA(3179, 796, F3, 40) (dual of [796, 617, 41]-code) | [i] | ✔ | |
| 39 | Linear OA(3229, 804, F3, 52) (dual of [804, 575, 53]-code) | [i] | ✔ | |
| 40 | Linear OA(3227, 802, F3, 51) (dual of [802, 575, 52]-code) | [i] | ✔ | |
| 41 | Linear OA(3181, 801, F3, 40) (dual of [801, 620, 41]-code) | [i] | ✔ | |
| 42 | Linear OA(3179, 799, F3, 39) (dual of [799, 620, 40]-code) | [i] | ✔ | |
| 43 | Linear OA(3188, 764, F3, 45) (dual of [764, 576, 46]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 44 | Linear OA(3168, 738, F3, 43) (dual of [738, 570, 44]-code) | [i] | ✔ | |
| 45 | Linear OA(3170, 747, F3, 42) (dual of [747, 577, 43]-code) | [i] | ✔ | |
| 46 | Linear OA(3172, 748, F3, 43) (dual of [748, 576, 44]-code) | [i] | ✔ | |
| 47 | Linear OA(3169, 745, F3, 42) (dual of [745, 576, 43]-code) | [i] | ✔ | |
| 48 | Linear OA(3162, 738, F3, 41) (dual of [738, 576, 42]-code) | [i] | ✔ | |
| 49 | Linear OA(3156, 738, F3, 40) (dual of [738, 582, 41]-code) | [i] | ✔ | |
| 50 | Linear OA(3158, 747, F3, 39) (dual of [747, 589, 40]-code) | [i] | ✔ | |
| 51 | Linear OA(3160, 748, F3, 40) (dual of [748, 588, 41]-code) | [i] | ✔ | |
| 52 | Linear OA(3157, 745, F3, 39) (dual of [745, 588, 40]-code) | [i] | ✔ | |
| 53 | Linear OA(3164, 764, F3, 39) (dual of [764, 600, 40]-code) | [i] | ✔ | |
| 54 | Linear OOA(3154, 243, F3, 3, 40) (dual of [(243, 3), 575, 41]-NRT-code) | [i] | OOA Folding | |