Information on Result #612257
Linear OA(3160, 729, F3, 41) (dual of [729, 569, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41
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(3180, 750, F3, 41) (dual of [750, 570, 42]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3186, 757, F3, 41) (dual of [757, 571, 42]-code) | [i] | ||
| 3 | Linear OA(3187, 757, F3, 41) (dual of [757, 570, 42]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 4 | Linear OA(3167, 736, F3, 43) (dual of [736, 569, 44]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(3160, 735, F3, 41) (dual of [735, 575, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(3175, 742, F3, 44) (dual of [742, 567, 45]-code) | [i] | ✔ | |
| 7 | Linear OA(3176, 745, F3, 44) (dual of [745, 569, 45]-code) | [i] | ✔ | |
| 8 | Linear OA(3163, 742, F3, 41) (dual of [742, 579, 42]-code) | [i] | ✔ | |
| 9 | Linear OA(3164, 745, F3, 41) (dual of [745, 581, 42]-code) | [i] | ✔ | |
| 10 | Linear OA(3185, 754, F3, 46) (dual of [754, 569, 47]-code) | [i] | ✔ | |
| 11 | Linear OA(3183, 749, F3, 45) (dual of [749, 566, 46]-code) | [i] | ✔ | |
| 12 | Linear OA(3165, 749, F3, 41) (dual of [749, 584, 42]-code) | [i] | ✔ | |
| 13 | Linear OA(3166, 753, F3, 41) (dual of [753, 587, 42]-code) | [i] | ✔ | |
| 14 | Linear OA(3192, 757, F3, 47) (dual of [757, 565, 48]-code) | [i] | ✔ | |
| 15 | Linear OA(3194, 763, F3, 47) (dual of [763, 569, 48]-code) | [i] | ✔ | |
| 16 | Linear OA(3168, 757, F3, 41) (dual of [757, 589, 42]-code) | [i] | ✔ | |
| 17 | Linear OA(3170, 763, F3, 41) (dual of [763, 593, 42]-code) | [i] | ✔ | |
| 18 | Linear OA(3205, 770, F3, 49) (dual of [770, 565, 50]-code) | [i] | ✔ | |
| 19 | Linear OA(3206, 772, F3, 49) (dual of [772, 566, 50]-code) | [i] | ✔ | |
| 20 | Linear OA(3207, 776, F3, 49) (dual of [776, 569, 50]-code) | [i] | ✔ | |
| 21 | Linear OA(3174, 769, F3, 41) (dual of [769, 595, 42]-code) | [i] | ✔ | |
| 22 | Linear OA(3175, 771, F3, 41) (dual of [771, 596, 42]-code) | [i] | ✔ | |
| 23 | Linear OA(3176, 775, F3, 41) (dual of [775, 599, 42]-code) | [i] | ✔ | |
| 24 | Linear OA(3217, 786, F3, 50) (dual of [786, 569, 51]-code) | [i] | ✔ | |
| 25 | Linear OA(3181, 786, F3, 41) (dual of [786, 605, 42]-code) | [i] | ✔ | |
| 26 | Linear OA(3227, 796, F3, 52) (dual of [796, 569, 53]-code) | [i] | ✔ | |
| 27 | Linear OA(3184, 795, F3, 41) (dual of [795, 611, 42]-code) | [i] | ✔ | |
| 28 | Linear OA(3235, 804, F3, 53) (dual of [804, 569, 54]-code) | [i] | ✔ | |
| 29 | Linear OA(3187, 804, F3, 41) (dual of [804, 617, 42]-code) | [i] | ✔ | |
| 30 | Linear OA(3200, 764, F3, 48) (dual of [764, 564, 49]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 31 | Linear OA(3182, 747, F3, 45) (dual of [747, 565, 46]-code) | [i] | ✔ | |
| 32 | Linear OA(3184, 748, F3, 46) (dual of [748, 564, 47]-code) | [i] | ✔ | |
| 33 | Linear OA(3181, 745, F3, 45) (dual of [745, 564, 46]-code) | [i] | ✔ | |
| 34 | Linear OA(3174, 738, F3, 44) (dual of [738, 564, 45]-code) | [i] | ✔ | |
| 35 | Linear OA(3168, 738, F3, 43) (dual of [738, 570, 44]-code) | [i] | ✔ | |
| 36 | Linear OA(3162, 738, F3, 41) (dual of [738, 576, 42]-code) | [i] | ✔ | |