Information on Result #704419
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 = {343,344,…,368}, 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(3118, 782, F3, 26) (dual of [782, 664, 27]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3144, 788, F3, 32) (dual of [788, 644, 33]-code) | [i] | ✔ | |
| 8 | Linear OA(3142, 782, F3, 32) (dual of [782, 640, 33]-code) | [i] | ✔ | |
| 9 | Linear OA(3151, 791, F3, 33) (dual of [791, 640, 34]-code) | [i] | ✔ | |
| 10 | Linear OA(3150, 789, F3, 33) (dual of [789, 639, 34]-code) | [i] | ✔ | |