Information on Result #704426
Linear OA(3109, 728, F3, 28) (dual of [728, 619, 29]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−6,−5,…,21}, and designed minimum distance d ≥ |I|+1 = 29
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 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(3109, 484, F3, 2, 28) (dual of [(484, 2), 859, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3109, 484, F3, 3, 28) (dual of [(484, 3), 1343, 29]-NRT-code) | [i] | ||
| 3 | Linear OOA(3109, 484, F3, 4, 28) (dual of [(484, 4), 1827, 29]-NRT-code) | [i] | ||
| 4 | Linear OOA(3109, 484, F3, 5, 28) (dual of [(484, 5), 2311, 29]-NRT-code) | [i] | ||
| 5 | Digital (81, 109, 484)-net over F3 | [i] | ||
| 6 | Linear OA(3124, 781, F3, 27) (dual of [781, 657, 28]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3123, 778, F3, 27) (dual of [778, 655, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(3121, 772, F3, 27) (dual of [772, 651, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(3120, 769, F3, 27) (dual of [769, 649, 28]-code) | [i] | ✔ | |
| 10 | Linear OA(3124, 772, F3, 28) (dual of [772, 648, 29]-code) | [i] | ✔ | |
| 11 | Linear OA(3118, 763, F3, 27) (dual of [763, 645, 28]-code) | [i] | ✔ | |
| 12 | Linear OA(3124, 785, F3, 27) (dual of [785, 661, 28]-code) | [i] | ✔ | |
| 13 | Linear OA(3124, 781, F3, 28) (dual of [781, 657, 29]-code) | [i] | ✔ | |
| 14 | Linear OA(3123, 778, F3, 28) (dual of [778, 655, 29]-code) | [i] | ✔ | |
| 15 | Linear OA(3120, 775, F3, 27) (dual of [775, 655, 28]-code) | [i] | ✔ | |
| 16 | Linear OA(3121, 772, F3, 28) (dual of [772, 651, 29]-code) | [i] | ✔ | |
| 17 | Linear OA(3118, 769, F3, 27) (dual of [769, 651, 28]-code) | [i] | ✔ | |
| 18 | Linear OA(3120, 769, F3, 28) (dual of [769, 649, 29]-code) | [i] | ✔ | |
| 19 | Linear OA(3118, 763, F3, 28) (dual of [763, 645, 29]-code) | [i] | ✔ | |
| 20 | Linear OA(3125, 768, F3, 29) (dual of [768, 643, 30]-code) | [i] | ✔ | |
| 21 | Linear OA(3135, 778, F3, 31) (dual of [778, 643, 32]-code) | [i] | ✔ | |
| 22 | Linear OA(3132, 775, F3, 30) (dual of [775, 643, 31]-code) | [i] | ✔ | |
| 23 | Linear OA(3133, 772, F3, 31) (dual of [772, 639, 32]-code) | [i] | ✔ | |
| 24 | Linear OA(3130, 769, F3, 30) (dual of [769, 639, 31]-code) | [i] | ✔ | |
| 25 | Linear OA(3143, 786, F3, 32) (dual of [786, 643, 33]-code) | [i] | ✔ | |
| 26 | Linear OA(3141, 780, F3, 32) (dual of [780, 639, 33]-code) | [i] | ✔ | |
| 27 | Linear OA(3153, 796, F3, 34) (dual of [796, 643, 35]-code) | [i] | ✔ | |
| 28 | Linear OA(3151, 794, F3, 33) (dual of [794, 643, 34]-code) | [i] | ✔ | |
| 29 | Linear OA(3151, 790, F3, 34) (dual of [790, 639, 35]-code) | [i] | ✔ | |
| 30 | Linear OA(3149, 788, F3, 33) (dual of [788, 639, 34]-code) | [i] | ✔ | |
| 31 | Linear OOA(3109, 364, F3, 2, 28) (dual of [(364, 2), 619, 29]-NRT-code) | [i] | OOA Folding | |
| 32 | Linear OOA(3109, 182, F3, 4, 28) (dual of [(182, 4), 619, 29]-NRT-code) | [i] | ||
| 33 | Linear OOA(3109, 145, F3, 5, 28) (dual of [(145, 5), 616, 29]-NRT-code) | [i] | ||