Information on Result #675426
Linear OA(3129, 6561, F3, 25) (dual of [6561, 6432, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25
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(3137, 6569, F3, 26) (dual of [6569, 6432, 27]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(3130, 6570, F3, 25) (dual of [6570, 6440, 26]-code) | [i] | ✔ | |
| 3 | Linear OA(3148, 6574, F3, 28) (dual of [6574, 6426, 29]-code) | [i] | ✔ | |
| 4 | Linear OA(3149, 6581, F3, 28) (dual of [6581, 6432, 29]-code) | [i] | ✔ | |
| 5 | Linear OA(3130, 6578, F3, 24) (dual of [6578, 6448, 25]-code) | [i] | ✔ | |
| 6 | Linear OA(3132, 6574, F3, 25) (dual of [6574, 6442, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(3133, 6581, F3, 25) (dual of [6581, 6448, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(3159, 6591, F3, 29) (dual of [6591, 6432, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(3136, 6588, F3, 25) (dual of [6588, 6452, 26]-code) | [i] | ✔ | |
| 10 | Linear OA(3137, 6593, F3, 25) (dual of [6593, 6456, 26]-code) | [i] | ✔ | |
| 11 | Linear OA(3135, 6591, F3, 24) (dual of [6591, 6456, 25]-code) | [i] | ✔ | |
| 12 | Linear OA(3185, 6617, F3, 32) (dual of [6617, 6432, 33]-code) | [i] | ✔ | |
| 13 | Linear OA(3183, 6614, F3, 32) (dual of [6614, 6431, 33]-code) | [i] | ✔ | |
| 14 | Linear OA(3184, 6616, F3, 32) (dual of [6616, 6432, 33]-code) | [i] | ✔ | |
| 15 | Linear OA(3170, 6595, F3, 31) (dual of [6595, 6425, 32]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 16 | Linear OA(3168, 6593, F3, 30) (dual of [6593, 6425, 31]-code) | [i] | ✔ | |
| 17 | Linear OA(3158, 6583, F3, 29) (dual of [6583, 6425, 30]-code) | [i] | ✔ | |
| 18 | Linear OA(3162, 6596, F3, 29) (dual of [6596, 6434, 30]-code) | [i] | ✔ | |
| 19 | Linear OA(3161, 6594, F3, 29) (dual of [6594, 6433, 30]-code) | [i] | ✔ | |
| 20 | Linear OA(3147, 6572, F3, 28) (dual of [6572, 6425, 29]-code) | [i] | ✔ | |
| 21 | Linear OA(3150, 6585, F3, 27) (dual of [6585, 6435, 28]-code) | [i] | ✔ | |
| 22 | Linear OA(3149, 6583, F3, 27) (dual of [6583, 6434, 28]-code) | [i] | ✔ | |
| 23 | Linear OA(3151, 6584, F3, 28) (dual of [6584, 6433, 29]-code) | [i] | ✔ | |
| 24 | Linear OA(3139, 6572, F3, 26) (dual of [6572, 6433, 27]-code) | [i] | ✔ | |
| 25 | Linear OA(3131, 6572, F3, 25) (dual of [6572, 6441, 26]-code) | [i] | ✔ | |
| 26 | Linear OA(3134, 6585, F3, 24) (dual of [6585, 6451, 25]-code) | [i] | ✔ | |
| 27 | Linear OA(3133, 6583, F3, 24) (dual of [6583, 6450, 25]-code) | [i] | ✔ | |
| 28 | Linear OA(3132, 6581, F3, 24) (dual of [6581, 6449, 25]-code) | [i] | ✔ | |
| 29 | Linear OA(3138, 6595, F3, 25) (dual of [6595, 6457, 26]-code) | [i] | ✔ | |
| 30 | Linear OA(3136, 6593, F3, 24) (dual of [6593, 6457, 25]-code) | [i] | ✔ | |
| 31 | Linear OOA(3129, 2187, F3, 3, 25) (dual of [(2187, 3), 6432, 26]-NRT-code) | [i] | OOA Folding | |
| 32 | Linear OOA(3129, 1640, F3, 4, 25) (dual of [(1640, 4), 6431, 26]-NRT-code) | [i] | ||
| 33 | Linear OOA(3129, 1312, F3, 5, 25) (dual of [(1312, 5), 6431, 26]-NRT-code) | [i] | ||