Information on Result #704386
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 = {−6,−5,…,19}, 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(3117, 771, F3, 26) (dual of [771, 654, 27]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3117, 780, F3, 26) (dual of [780, 663, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(3115, 772, F3, 26) (dual of [772, 657, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(3113, 768, F3, 26) (dual of [768, 655, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(3111, 762, F3, 26) (dual of [762, 651, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(3120, 769, F3, 27) (dual of [769, 649, 28]-code) | [i] | ✔ | |
| 12 | Linear OA(3124, 772, F3, 28) (dual of [772, 648, 29]-code) | [i] | ✔ | |
| 13 | Linear OA(3118, 763, F3, 27) (dual of [763, 645, 28]-code) | [i] | ✔ | |
| 14 | Linear OA(3120, 769, F3, 28) (dual of [769, 649, 29]-code) | [i] | ✔ | |
| 15 | Linear OA(3118, 763, F3, 28) (dual of [763, 645, 29]-code) | [i] | ✔ | |
| 16 | Linear OA(3127, 772, F3, 29) (dual of [772, 645, 30]-code) | [i] | ✔ | |
| 17 | Linear OA(3138, 787, F3, 30) (dual of [787, 649, 31]-code) | [i] | ✔ | |
| 18 | Linear OA(3136, 781, F3, 30) (dual of [781, 645, 31]-code) | [i] | ✔ | |
| 19 | Linear OA(3138, 787, F3, 31) (dual of [787, 649, 32]-code) | [i] | ✔ | |
| 20 | Linear OA(3136, 785, F3, 30) (dual of [785, 649, 31]-code) | [i] | ✔ | |
| 21 | Linear OA(3136, 781, F3, 31) (dual of [781, 645, 32]-code) | [i] | ✔ | |
| 22 | Linear OA(3145, 790, F3, 32) (dual of [790, 645, 33]-code) | [i] | ✔ | |