Information on Result #704346
Linear OA(397, 728, F3, 25) (dual of [728, 631, 26]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−6,−5,…,18}, and designed minimum distance d ≥ |I|+1 = 26
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 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(397, 443, F3, 2, 25) (dual of [(443, 2), 789, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(397, 443, F3, 3, 25) (dual of [(443, 3), 1232, 26]-NRT-code) | [i] | ||
| 3 | Linear OOA(397, 443, F3, 4, 25) (dual of [(443, 4), 1675, 26]-NRT-code) | [i] | ||
| 4 | Linear OOA(397, 443, F3, 5, 25) (dual of [(443, 5), 2118, 26]-NRT-code) | [i] | ||
| 5 | Digital (72, 97, 443)-net over F3 | [i] | ||
| 6 | Linear OA(3109, 772, F3, 24) (dual of [772, 663, 25]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3108, 769, F3, 24) (dual of [769, 661, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(3111, 778, F3, 25) (dual of [778, 667, 26]-code) | [i] | ✔ | |
| 9 | Linear OA(3108, 775, F3, 24) (dual of [775, 667, 25]-code) | [i] | ✔ | |
| 10 | Linear OA(3109, 772, F3, 25) (dual of [772, 663, 26]-code) | [i] | ✔ | |
| 11 | Linear OA(3106, 769, F3, 24) (dual of [769, 663, 25]-code) | [i] | ✔ | |
| 12 | Linear OA(3108, 769, F3, 25) (dual of [769, 661, 26]-code) | [i] | ✔ | |
| 13 | Linear OA(3106, 763, F3, 25) (dual of [763, 657, 26]-code) | [i] | ✔ | |
| 14 | Linear OA(3117, 771, F3, 26) (dual of [771, 654, 27]-code) | [i] | ✔ | |
| 15 | Linear OA(3113, 768, F3, 26) (dual of [768, 655, 27]-code) | [i] | ✔ | |
| 16 | Linear OA(3111, 762, F3, 26) (dual of [762, 651, 27]-code) | [i] | ✔ | |
| 17 | Linear OA(3123, 778, F3, 27) (dual of [778, 655, 28]-code) | [i] | ✔ | |
| 18 | Linear OA(3121, 772, F3, 27) (dual of [772, 651, 28]-code) | [i] | ✔ | |
| 19 | Linear OA(3123, 778, F3, 28) (dual of [778, 655, 29]-code) | [i] | ✔ | |
| 20 | Linear OA(3120, 775, F3, 27) (dual of [775, 655, 28]-code) | [i] | ✔ | |
| 21 | Linear OA(3121, 772, F3, 28) (dual of [772, 651, 29]-code) | [i] | ✔ | |
| 22 | Linear OA(3118, 769, F3, 27) (dual of [769, 651, 28]-code) | [i] | ✔ | |
| 23 | Linear OA(3131, 786, F3, 29) (dual of [786, 655, 30]-code) | [i] | ✔ | |
| 24 | Linear OA(3129, 780, F3, 29) (dual of [780, 651, 30]-code) | [i] | ✔ | |
| 25 | Linear OA(3139, 790, F3, 31) (dual of [790, 651, 32]-code) | [i] | ✔ | |
| 26 | Linear OA(3137, 788, F3, 30) (dual of [788, 651, 31]-code) | [i] | ✔ | |
| 27 | Linear OOA(397, 182, F3, 4, 25) (dual of [(182, 4), 631, 26]-NRT-code) | [i] | OOA Folding | |