Information on Result #704061
Linear OA(3111, 728, F3, 28) (dual of [728, 617, 29]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29
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(3111, 528, F3, 2, 28) (dual of [(528, 2), 945, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3111, 528, F3, 3, 28) (dual of [(528, 3), 1473, 29]-NRT-code) | [i] | ||
| 3 | Linear OOA(3111, 528, F3, 4, 28) (dual of [(528, 4), 2001, 29]-NRT-code) | [i] | ||
| 4 | Linear OOA(3111, 528, F3, 5, 28) (dual of [(528, 5), 2529, 29]-NRT-code) | [i] | ||
| 5 | Digital (83, 111, 528)-net over F3 | [i] | ||
| 6 | Linear OA(3157, 772, F3, 36) (dual of [772, 615, 37]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(3134, 766, F3, 32) (dual of [766, 632, 33]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 8 | Linear OA(3160, 796, F3, 35) (dual of [796, 636, 36]-code) | [i] | ✔ | |
| 9 | Linear OA(3142, 774, F3, 33) (dual of [774, 632, 34]-code) | [i] | ✔ | |
| 10 | Linear OA(3140, 766, F3, 33) (dual of [766, 626, 34]-code) | [i] | ✔ | |
| 11 | Linear OA(3155, 785, F3, 35) (dual of [785, 630, 36]-code) | [i] | ✔ | |
| 12 | Linear OA(3154, 780, F3, 35) (dual of [780, 626, 36]-code) | [i] | ✔ | |
| 13 | Linear OA(3153, 777, F3, 35) (dual of [777, 624, 36]-code) | [i] | ✔ | |
| 14 | Linear OA(3137, 757, F3, 33) (dual of [757, 620, 34]-code) | [i] | ✔ | |
| 15 | Linear OA(3126, 743, F3, 32) (dual of [743, 617, 33]-code) | [i] | ✔ | |
| 16 | Linear OA(3136, 753, F3, 34) (dual of [753, 617, 35]-code) | [i] | ✔ | |
| 17 | Linear OA(3134, 748, F3, 33) (dual of [748, 614, 34]-code) | [i] | ✔ | |
| 18 | Linear OA(3153, 769, F3, 36) (dual of [769, 616, 37]-code) | [i] | ✔ | |
| 19 | Linear OA(3157, 772, F3, 37) (dual of [772, 615, 38]-code) | [i] | ✔ | |
| 20 | Linear OA(3151, 763, F3, 36) (dual of [763, 612, 37]-code) | [i] | ✔ | |
| 21 | Linear OA(3166, 781, F3, 38) (dual of [781, 615, 39]-code) | [i] | ✔ | |
| 22 | Linear OA(3171, 787, F3, 39) (dual of [787, 616, 40]-code) | [i] | ✔ | |
| 23 | Linear OA(3175, 790, F3, 40) (dual of [790, 615, 41]-code) | [i] | ✔ | |
| 24 | Linear OA(3169, 781, F3, 39) (dual of [781, 612, 40]-code) | [i] | ✔ | |
| 25 | Linear OA(3174, 785, F3, 40) (dual of [785, 611, 41]-code) | [i] | ✔ | |
| 26 | Linear OA(3184, 799, F3, 41) (dual of [799, 615, 42]-code) | [i] | ✔ | |
| 27 | Linear OA(3183, 794, F3, 41) (dual of [794, 611, 42]-code) | [i] | ✔ | |