Information on Result #704057
Linear OA(3108, 728, F3, 27) (dual of [728, 620, 28]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28
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
- Primitive BCH-Codes (hidden) [i]
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(3124, 772, F3, 27) (dual of [772, 648, 28]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 16 | Linear OA(3137, 757, F3, 33) (dual of [757, 620, 34]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 17 | Linear OA(3138, 758, F3, 34) (dual of [758, 620, 35]-code) | [i] | ✔ | |
| 18 | Linear OA(3146, 766, F3, 35) (dual of [766, 620, 36]-code) | [i] | ✔ | |
| 19 | Linear OA(3155, 774, F3, 36) (dual of [774, 619, 37]-code) | [i] | ✔ | |
| 20 | Linear OA(3159, 777, F3, 37) (dual of [777, 618, 38]-code) | [i] | ✔ | |
| 21 | Linear OA(3153, 768, F3, 36) (dual of [768, 615, 37]-code) | [i] | ✔ | |
| 22 | Linear OA(3154, 774, F3, 36) (dual of [774, 620, 37]-code) | [i] | ✔ | |
| 23 | Linear OA(3167, 785, F3, 38) (dual of [785, 618, 39]-code) | [i] | ✔ | |
| 24 | Linear OA(3166, 780, F3, 38) (dual of [780, 614, 39]-code) | [i] | ✔ | |
| 25 | Linear OA(3174, 793, F3, 39) (dual of [793, 619, 40]-code) | [i] | ✔ | |
| 26 | Linear OA(3178, 796, F3, 40) (dual of [796, 618, 41]-code) | [i] | ✔ | |
| 27 | Linear OA(3172, 787, F3, 39) (dual of [787, 615, 40]-code) | [i] | ✔ | |
| 28 | Linear OOA(3108, 364, F3, 2, 27) (dual of [(364, 2), 620, 28]-NRT-code) | [i] | OOA Folding | |
| 29 | Linear OOA(3108, 242, F3, 3, 27) (dual of [(242, 3), 618, 28]-NRT-code) | [i] | ||
| 30 | Linear OOA(3108, 182, F3, 4, 27) (dual of [(182, 4), 620, 28]-NRT-code) | [i] | ||