Information on Result #704361
Linear OA(391, 728, F3, 23) (dual of [728, 637, 24]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {342,343,…,364}, and designed minimum distance d ≥ |I|+1 = 24
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 Expurgated Narrow-Sense BCH-Codes [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(391, 463, F3, 2, 23) (dual of [(463, 2), 835, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(391, 463, F3, 3, 23) (dual of [(463, 3), 1298, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(391, 463, F3, 4, 23) (dual of [(463, 4), 1761, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(391, 463, F3, 5, 23) (dual of [(463, 5), 2224, 24]-NRT-code) | [i] | ||
| 5 | Digital (68, 91, 463)-net over F3 | [i] | ||
| 6 | Linear OA(3107, 768, F3, 24) (dual of [768, 661, 25]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3101, 750, F3, 24) (dual of [750, 649, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(3100, 747, F3, 24) (dual of [747, 647, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(3104, 741, F3, 26) (dual of [741, 637, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(3113, 750, F3, 27) (dual of [750, 637, 28]-code) | [i] | ✔ | |
| 11 | Linear OA(3112, 747, F3, 27) (dual of [747, 635, 28]-code) | [i] | ✔ | |
| 12 | Linear OA(3126, 762, F3, 30) (dual of [762, 636, 31]-code) | [i] | ✔ | |
| 13 | Linear OA(3136, 772, F3, 32) (dual of [772, 636, 33]-code) | [i] | ✔ | |
| 14 | Linear OA(3148, 781, F3, 33) (dual of [781, 633, 34]-code) | [i] | ✔ | |
| 15 | Linear OA(3149, 781, F3, 34) (dual of [781, 632, 35]-code) | [i] | ✔ | |
| 16 | Linear OA(3146, 778, F3, 33) (dual of [778, 632, 34]-code) | [i] | ✔ | |
| 17 | Linear OA(3144, 780, F3, 33) (dual of [780, 636, 34]-code) | [i] | ✔ | |
| 18 | Linear OA(3157, 789, F3, 35) (dual of [789, 632, 36]-code) | [i] | ✔ | |
| 19 | Linear OA(3166, 799, F3, 36) (dual of [799, 633, 37]-code) | [i] | ✔ | |
| 20 | Linear OA(3167, 799, F3, 37) (dual of [799, 632, 38]-code) | [i] | ✔ | |
| 21 | Linear OA(3165, 797, F3, 36) (dual of [797, 632, 37]-code) | [i] | ✔ | |