Information on Result #704448
Linear OA(3103, 728, F3, 26) (dual of [728, 625, 27]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {339,340,…,364}, and designed minimum distance d ≥ |I|+1 = 27
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]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3103, 502, F3, 2, 26) (dual of [(502, 2), 901, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3103, 502, F3, 3, 26) (dual of [(502, 3), 1403, 27]-NRT-code) | [i] | ||
| 3 | Linear OOA(3103, 502, F3, 4, 26) (dual of [(502, 4), 1905, 27]-NRT-code) | [i] | ||
| 4 | Linear OOA(3103, 502, F3, 5, 26) (dual of [(502, 5), 2407, 27]-NRT-code) | [i] | ||
| 5 | Digital (77, 103, 502)-net over F3 | [i] | ||
| 6 | Linear OA(3119, 768, F3, 27) (dual of [768, 649, 28]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3117, 762, F3, 27) (dual of [762, 645, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(3113, 750, F3, 27) (dual of [750, 637, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(3112, 747, F3, 27) (dual of [747, 635, 28]-code) | [i] | ✔ | |
| 10 | Linear OA(3121, 746, F3, 30) (dual of [746, 625, 31]-code) | [i] | ✔ | |
| 11 | Linear OA(3131, 756, F3, 32) (dual of [756, 625, 33]-code) | [i] | ✔ | |
| 12 | Linear OA(3138, 762, F3, 33) (dual of [762, 624, 34]-code) | [i] | ✔ | |
| 13 | Linear OA(3138, 763, F3, 33) (dual of [763, 625, 34]-code) | [i] | ✔ | |
| 14 | Linear OA(3148, 772, F3, 35) (dual of [772, 624, 36]-code) | [i] | ✔ | |
| 15 | Linear OA(3160, 781, F3, 36) (dual of [781, 621, 37]-code) | [i] | ✔ | |
| 16 | Linear OA(3161, 781, F3, 37) (dual of [781, 620, 38]-code) | [i] | ✔ | |
| 17 | Linear OA(3158, 778, F3, 36) (dual of [778, 620, 37]-code) | [i] | ✔ | |
| 18 | Linear OA(3156, 780, F3, 36) (dual of [780, 624, 37]-code) | [i] | ✔ | |
| 19 | Linear OA(3169, 789, F3, 38) (dual of [789, 620, 39]-code) | [i] | ✔ | |
| 20 | Linear OA(3178, 799, F3, 39) (dual of [799, 621, 40]-code) | [i] | ✔ | |
| 21 | Linear OA(3179, 799, F3, 40) (dual of [799, 620, 41]-code) | [i] | ✔ | |
| 22 | Linear OA(3177, 797, F3, 39) (dual of [797, 620, 40]-code) | [i] | ✔ | |