Information on Result #704495
Linear OA(3108, 728, F3, 27) (dual of [728, 620, 28]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {337,338,…,363}, and designed minimum distance d ≥ |I|+1 = 28
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 OOA(3108, 539, F3, 2, 27) (dual of [(539, 2), 970, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3108, 539, F3, 3, 27) (dual of [(539, 3), 1509, 28]-NRT-code) | [i] | ||
| 3 | Linear OOA(3108, 539, F3, 4, 27) (dual of [(539, 4), 2048, 28]-NRT-code) | [i] | ||
| 4 | Linear OOA(3108, 539, F3, 5, 27) (dual of [(539, 5), 2587, 28]-NRT-code) | [i] | ||
| 5 | Digital (81, 108, 539)-net over F3 | [i] | ||
| 6 | Linear OA(3116, 766, F3, 27) (dual of [766, 650, 28]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(3117, 782, F3, 27) (dual of [782, 665, 28]-code) | [i] | ||
| 8 | Linear OA(3118, 803, F3, 27) (dual of [803, 685, 28]-code) | [i] | ||
| 9 | Linear OA(3119, 829, F3, 27) (dual of [829, 710, 28]-code) | [i] | ||
| 10 | Linear OA(3120, 859, F3, 27) (dual of [859, 739, 28]-code) | [i] | ||
| 11 | Linear OA(3121, 892, F3, 27) (dual of [892, 771, 28]-code) | [i] | ||
| 12 | Linear OA(3122, 928, F3, 27) (dual of [928, 806, 28]-code) | [i] | ||
| 13 | Linear OA(3123, 967, F3, 27) (dual of [967, 844, 28]-code) | [i] | ||
| 14 | Linear OA(3124, 1008, F3, 27) (dual of [1008, 884, 28]-code) | [i] | ||
| 15 | Linear OA(3126, 770, F3, 29) (dual of [770, 644, 30]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 16 | Linear OA(3134, 774, F3, 31) (dual of [774, 640, 32]-code) | [i] | ✔ | |
| 17 | Linear OA(3144, 788, F3, 32) (dual of [788, 644, 33]-code) | [i] | ✔ | |
| 18 | Linear OA(3142, 782, F3, 32) (dual of [782, 640, 33]-code) | [i] | ✔ | |
| 19 | Linear OA(3128, 748, F3, 32) (dual of [748, 620, 33]-code) | [i] | ✔ | |
| 20 | Linear OA(3136, 756, F3, 33) (dual of [756, 620, 34]-code) | [i] | ✔ | |
| 21 | Linear OA(3145, 764, F3, 35) (dual of [764, 619, 36]-code) | [i] | ✔ | |
| 22 | Linear OA(3157, 773, F3, 36) (dual of [773, 616, 37]-code) | [i] | ✔ | |
| 23 | Linear OA(3165, 785, F3, 38) (dual of [785, 620, 39]-code) | [i] | ✔ | |
| 24 | Linear OA(3175, 791, F3, 39) (dual of [791, 616, 40]-code) | [i] | ✔ | |
| 25 | Linear OOA(3108, 364, F3, 2, 27) (dual of [(364, 2), 620, 28]-NRT-code) | [i] | OOA Folding | |
| 26 | Linear OOA(3108, 242, F3, 3, 27) (dual of [(242, 3), 618, 28]-NRT-code) | [i] | ||
| 27 | Linear OOA(3108, 182, F3, 4, 27) (dual of [(182, 4), 620, 28]-NRT-code) | [i] | ||