Information on Result #612293
Linear OA(3229, 3281, F3, 44) (dual of [3281, 3052, 45]-code), using an extension Ce(43) of the narrow-sense BCH-code C(I) with length 3280 | 38−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44
Mode: Constructive and linear.
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3229, 3173, F3, 2, 44) (dual of [(3173, 2), 6117, 45]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3229, 3173, F3, 3, 44) (dual of [(3173, 3), 9290, 45]-NRT-code) | [i] | ||
| 3 | Linear OOA(3229, 3173, F3, 4, 44) (dual of [(3173, 4), 12463, 45]-NRT-code) | [i] | ||
| 4 | Linear OOA(3229, 3173, F3, 5, 44) (dual of [(3173, 5), 15636, 45]-NRT-code) | [i] | ||
| 5 | Digital (185, 229, 3173)-net over F3 | [i] | ||
| 6 | Linear OA(3238, 3290, F3, 46) (dual of [3290, 3052, 47]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(3229, 3289, F3, 44) (dual of [3289, 3060, 45]-code) | [i] | ✔ | |
| 8 | Linear OA(3248, 3294, F3, 47) (dual of [3294, 3046, 48]-code) | [i] | ✔ | |
| 9 | Linear OA(3232, 3294, F3, 44) (dual of [3294, 3062, 45]-code) | [i] | ✔ | |
| 10 | Linear OA(3247, 3292, F3, 47) (dual of [3292, 3045, 48]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 11 | Linear OA(3239, 3292, F3, 46) (dual of [3292, 3053, 47]-code) | [i] | ✔ | |
| 12 | Linear OA(3231, 3292, F3, 44) (dual of [3292, 3061, 45]-code) | [i] | ✔ | |