Information on Result #612318
Linear OA(3241, 6561, F3, 46) (dual of [6561, 6320, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46
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 OA(3240, 6560, F3, 45) (dual of [6560, 6320, 46]-code) | [i] | Truncation | |
| 2 | Linear OOA(3241, 3413, F3, 2, 46) (dual of [(3413, 2), 6585, 47]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3241, 3413, F3, 3, 46) (dual of [(3413, 3), 9998, 47]-NRT-code) | [i] | ||
| 4 | Linear OOA(3241, 3413, F3, 4, 46) (dual of [(3413, 4), 13411, 47]-NRT-code) | [i] | ||
| 5 | Linear OOA(3241, 3413, F3, 5, 46) (dual of [(3413, 5), 16824, 47]-NRT-code) | [i] | ||
| 6 | Digital (195, 241, 3413)-net over F3 | [i] | ||
| 7 | Linear OA(3249, 6569, F3, 47) (dual of [6569, 6320, 48]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(3242, 6570, F3, 46) (dual of [6570, 6328, 47]-code) | [i] | ✔ | |
| 9 | Linear OA(3244, 6574, F3, 46) (dual of [6574, 6330, 47]-code) | [i] | ✔ | |
| 10 | Linear OA(3245, 6581, F3, 46) (dual of [6581, 6336, 47]-code) | [i] | ✔ | |
| 11 | Linear OA(3248, 6588, F3, 46) (dual of [6588, 6340, 47]-code) | [i] | ✔ | |
| 12 | Linear OA(3249, 6593, F3, 46) (dual of [6593, 6344, 47]-code) | [i] | ✔ | |
| 13 | Linear OA(3247, 6591, F3, 45) (dual of [6591, 6344, 46]-code) | [i] | ✔ | |
| 14 | Linear OA(3249, 6601, F3, 45) (dual of [6601, 6352, 46]-code) | [i] | ✔ | |
| 15 | Linear OA(3243, 6572, F3, 46) (dual of [6572, 6329, 47]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 16 | Linear OA(3246, 6585, F3, 45) (dual of [6585, 6339, 46]-code) | [i] | ✔ | |
| 17 | Linear OA(3245, 6583, F3, 45) (dual of [6583, 6338, 46]-code) | [i] | ✔ | |
| 18 | Linear OA(3247, 6584, F3, 46) (dual of [6584, 6337, 47]-code) | [i] | ✔ | |
| 19 | Linear OA(3250, 6595, F3, 46) (dual of [6595, 6345, 47]-code) | [i] | ✔ | |
| 20 | Linear OA(3248, 6593, F3, 45) (dual of [6593, 6345, 46]-code) | [i] | ✔ | |
| 21 | Linear OOA(3241, 3280, F3, 2, 46) (dual of [(3280, 2), 6319, 47]-NRT-code) | [i] | OOA Folding | |
| 22 | Linear OOA(3241, 2187, F3, 3, 46) (dual of [(2187, 3), 6320, 47]-NRT-code) | [i] | ||
| 23 | Linear OOA(3241, 1640, F3, 4, 46) (dual of [(1640, 4), 6319, 47]-NRT-code) | [i] | ||
| 24 | Linear OOA(3241, 1312, F3, 5, 46) (dual of [(1312, 5), 6319, 47]-NRT-code) | [i] | ||