Information on Result #704838
Linear OA(3141, 728, F3, 36) (dual of [728, 587, 37]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {328,329,…,363}, and designed minimum distance d ≥ |I|+1 = 37
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3149, 774, F3, 36) (dual of [774, 625, 37]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(3150, 793, F3, 36) (dual of [793, 643, 37]-code) | [i] | ||
| 3 | Linear OA(3151, 815, F3, 36) (dual of [815, 664, 37]-code) | [i] | ||
| 4 | Linear OA(3152, 839, F3, 36) (dual of [839, 687, 37]-code) | [i] | ||
| 5 | Linear OA(3153, 865, F3, 36) (dual of [865, 712, 37]-code) | [i] | ||
| 6 | Linear OA(3154, 892, F3, 36) (dual of [892, 738, 37]-code) | [i] | ||
| 7 | Linear OA(3155, 920, F3, 36) (dual of [920, 765, 37]-code) | [i] | ||
| 8 | Linear OA(3159, 770, F3, 38) (dual of [770, 611, 39]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 9 | Linear OA(3157, 764, F3, 38) (dual of [764, 607, 39]-code) | [i] | ✔ | |
| 10 | Linear OA(3167, 774, F3, 40) (dual of [774, 607, 41]-code) | [i] | ✔ | |
| 11 | Linear OA(3177, 788, F3, 41) (dual of [788, 611, 42]-code) | [i] | ✔ | |
| 12 | Linear OA(3183, 770, F3, 44) (dual of [770, 587, 45]-code) | [i] | ✔ | |
| 13 | Linear OA(3181, 764, F3, 44) (dual of [764, 583, 45]-code) | [i] | ✔ | |
| 14 | Linear OA(3193, 773, F3, 45) (dual of [773, 580, 46]-code) | [i] | ✔ | |
| 15 | Linear OA(3191, 774, F3, 46) (dual of [774, 583, 47]-code) | [i] | ✔ | |
| 16 | Linear OA(3201, 788, F3, 47) (dual of [788, 587, 48]-code) | [i] | ✔ | |
| 17 | Linear OA(3199, 782, F3, 47) (dual of [782, 583, 48]-code) | [i] | ✔ | |
| 18 | Linear OA(3211, 791, F3, 48) (dual of [791, 580, 49]-code) | [i] | ✔ | |
| 19 | Linear OOA(3141, 364, F3, 2, 36) (dual of [(364, 2), 587, 37]-NRT-code) | [i] | OOA Folding | |
| 20 | Linear OOA(3141, 242, F3, 3, 36) (dual of [(242, 3), 585, 37]-NRT-code) | [i] | ||
| 21 | Linear OOA(3141, 182, F3, 4, 36) (dual of [(182, 4), 587, 37]-NRT-code) | [i] | ||
| 22 | Linear OOA(3141, 145, F3, 5, 36) (dual of [(145, 5), 584, 37]-NRT-code) | [i] | ||