Information on Result #704414
Linear OA(3109, 728, F3, 27) (dual of [728, 619, 28]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {339,340,…,365}, 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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3109, 564, F3, 2, 27) (dual of [(564, 2), 1019, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3109, 564, F3, 3, 27) (dual of [(564, 3), 1583, 28]-NRT-code) | [i] | ||
| 3 | Linear OOA(3109, 564, F3, 4, 27) (dual of [(564, 4), 2147, 28]-NRT-code) | [i] | ||
| 4 | Linear OOA(3109, 564, F3, 5, 27) (dual of [(564, 5), 2711, 28]-NRT-code) | [i] | ||
| 5 | Digital (82, 109, 564)-net over F3 | [i] | ||
| 6 | Linear OA(3124, 773, F3, 27) (dual of [773, 649, 28]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3120, 770, F3, 27) (dual of [770, 650, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(3118, 764, F3, 27) (dual of [764, 646, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(3119, 768, F3, 27) (dual of [768, 649, 28]-code) | [i] | ✔ | |
| 10 | Linear OA(3117, 762, F3, 27) (dual of [762, 645, 28]-code) | [i] | ✔ | |
| 11 | Linear OA(3113, 749, F3, 27) (dual of [749, 636, 28]-code) | [i] | ✔ | |
| 12 | Linear OA(3113, 750, F3, 27) (dual of [750, 637, 28]-code) | [i] | ✔ | |
| 13 | Linear OA(3112, 747, F3, 27) (dual of [747, 635, 28]-code) | [i] | ✔ | |
| 14 | Linear OA(3122, 748, F3, 30) (dual of [748, 626, 31]-code) | [i] | ✔ | |
| 15 | Linear OA(3121, 746, F3, 30) (dual of [746, 625, 31]-code) | [i] | ✔ | |
| 16 | Linear OA(3149, 786, F3, 33) (dual of [786, 637, 34]-code) | [i] | ✔ | |
| 17 | Linear OA(3147, 780, F3, 33) (dual of [780, 633, 34]-code) | [i] | ✔ | |
| 18 | Linear OA(3141, 767, F3, 33) (dual of [767, 626, 34]-code) | [i] | ✔ | |
| 19 | Linear OA(3139, 764, F3, 33) (dual of [764, 625, 34]-code) | [i] | ✔ | |
| 20 | Linear OA(3131, 756, F3, 32) (dual of [756, 625, 33]-code) | [i] | ✔ | |
| 21 | Linear OA(3138, 762, F3, 33) (dual of [762, 624, 34]-code) | [i] | ✔ | |
| 22 | Linear OA(3152, 773, F3, 35) (dual of [773, 621, 36]-code) | [i] | ✔ | |
| 23 | Linear OA(3154, 772, F3, 36) (dual of [772, 618, 37]-code) | [i] | ✔ | |
| 24 | Linear OA(3167, 781, F3, 38) (dual of [781, 614, 39]-code) | [i] | ✔ | |
| 25 | Linear OA(3176, 790, F3, 40) (dual of [790, 614, 41]-code) | [i] | ✔ | |
| 26 | Linear OA(3185, 799, F3, 41) (dual of [799, 614, 42]-code) | [i] | ✔ | |