Information on Result #675431
Linear OA(397, 6561, F3, 19) (dual of [6561, 6464, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3105, 6569, F3, 20) (dual of [6569, 6464, 21]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(398, 6570, F3, 19) (dual of [6570, 6472, 20]-code) | [i] | ✔ | |
| 3 | Linear OA(3116, 6574, F3, 22) (dual of [6574, 6458, 23]-code) | [i] | ✔ | |
| 4 | Linear OA(3117, 6581, F3, 22) (dual of [6581, 6464, 23]-code) | [i] | ✔ | |
| 5 | Linear OA(398, 6578, F3, 18) (dual of [6578, 6480, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(3100, 6574, F3, 19) (dual of [6574, 6474, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(3101, 6581, F3, 19) (dual of [6581, 6480, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(3127, 6591, F3, 23) (dual of [6591, 6464, 24]-code) | [i] | ✔ | |
| 9 | Linear OA(3104, 6588, F3, 19) (dual of [6588, 6484, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(3105, 6593, F3, 19) (dual of [6593, 6488, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(3103, 6591, F3, 18) (dual of [6591, 6488, 19]-code) | [i] | ✔ | |
| 12 | Linear OA(3151, 6614, F3, 26) (dual of [6614, 6463, 27]-code) | [i] | ✔ | |
| 13 | Linear OA(3152, 6616, F3, 26) (dual of [6616, 6464, 27]-code) | [i] | ✔ | |
| 14 | Linear OA(3138, 6595, F3, 25) (dual of [6595, 6457, 26]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 15 | Linear OA(3136, 6593, F3, 24) (dual of [6593, 6457, 25]-code) | [i] | ✔ | |
| 16 | Linear OA(3126, 6583, F3, 23) (dual of [6583, 6457, 24]-code) | [i] | ✔ | |
| 17 | Linear OA(3130, 6596, F3, 23) (dual of [6596, 6466, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(3129, 6594, F3, 23) (dual of [6594, 6465, 24]-code) | [i] | ✔ | |
| 19 | Linear OA(3115, 6572, F3, 22) (dual of [6572, 6457, 23]-code) | [i] | ✔ | |
| 20 | Linear OA(3118, 6585, F3, 21) (dual of [6585, 6467, 22]-code) | [i] | ✔ | |
| 21 | Linear OA(3117, 6583, F3, 21) (dual of [6583, 6466, 22]-code) | [i] | ✔ | |
| 22 | Linear OA(3119, 6584, F3, 22) (dual of [6584, 6465, 23]-code) | [i] | ✔ | |
| 23 | Linear OA(3107, 6572, F3, 20) (dual of [6572, 6465, 21]-code) | [i] | ✔ | |
| 24 | Linear OA(399, 6572, F3, 19) (dual of [6572, 6473, 20]-code) | [i] | ✔ | |
| 25 | Linear OA(3102, 6585, F3, 18) (dual of [6585, 6483, 19]-code) | [i] | ✔ | |
| 26 | Linear OA(3101, 6583, F3, 18) (dual of [6583, 6482, 19]-code) | [i] | ✔ | |
| 27 | Linear OA(3100, 6581, F3, 18) (dual of [6581, 6481, 19]-code) | [i] | ✔ | |
| 28 | Linear OA(3106, 6595, F3, 19) (dual of [6595, 6489, 20]-code) | [i] | ✔ | |
| 29 | Linear OA(3104, 6593, F3, 18) (dual of [6593, 6489, 19]-code) | [i] | ✔ | |
| 30 | Linear OOA(397, 2187, F3, 3, 19) (dual of [(2187, 3), 6464, 20]-NRT-code) | [i] | OOA Folding | |
| 31 | Linear OOA(397, 1640, F3, 4, 19) (dual of [(1640, 4), 6463, 20]-NRT-code) | [i] | ||
| 32 | Linear OOA(397, 1312, F3, 5, 19) (dual of [(1312, 5), 6463, 20]-NRT-code) | [i] | ||