Information on Result #611909
Linear OA(3113, 6561, F3, 22) (dual of [6561, 6448, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22
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(3112, 6560, F3, 21) (dual of [6560, 6448, 22]-code) | [i] | Truncation | |
| 2 | Linear OA(3124, 6573, F3, 22) (dual of [6573, 6449, 23]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(3121, 6569, F3, 23) (dual of [6569, 6448, 24]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(3114, 6570, F3, 22) (dual of [6570, 6456, 23]-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(3116, 6574, F3, 22) (dual of [6574, 6458, 23]-code) | [i] | ✔ | |
| 9 | Linear OA(3117, 6581, F3, 22) (dual of [6581, 6464, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(3143, 6591, F3, 26) (dual of [6591, 6448, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(3120, 6588, F3, 22) (dual of [6588, 6468, 23]-code) | [i] | ✔ | |
| 12 | Linear OA(3121, 6593, F3, 22) (dual of [6593, 6472, 23]-code) | [i] | ✔ | |
| 13 | Linear OA(3119, 6591, F3, 21) (dual of [6591, 6472, 22]-code) | [i] | ✔ | |
| 14 | Linear OA(3155, 6597, F3, 28) (dual of [6597, 6442, 29]-code) | [i] | ✔ | |
| 15 | Linear OA(3156, 6602, F3, 28) (dual of [6602, 6446, 29]-code) | [i] | ✔ | |
| 16 | Linear OA(3157, 6605, F3, 28) (dual of [6605, 6448, 29]-code) | [i] | ✔ | |
| 17 | Linear OA(3153, 6601, F3, 27) (dual of [6601, 6448, 28]-code) | [i] | ✔ | |
| 18 | Linear OA(3123, 6597, F3, 22) (dual of [6597, 6474, 23]-code) | [i] | ✔ | |
| 19 | Linear OA(3124, 6602, F3, 22) (dual of [6602, 6478, 23]-code) | [i] | ✔ | |
| 20 | Linear OA(3125, 6605, F3, 22) (dual of [6605, 6480, 23]-code) | [i] | ✔ | |
| 21 | Linear OA(3121, 6601, F3, 21) (dual of [6601, 6480, 22]-code) | [i] | ✔ | |
| 22 | Linear OA(3169, 6617, F3, 29) (dual of [6617, 6448, 30]-code) | [i] | ✔ | |
| 23 | Linear OA(3178, 6626, F3, 30) (dual of [6626, 6448, 31]-code) | [i] | ✔ | |
| 24 | Linear OA(3155, 6600, F3, 28) (dual of [6600, 6445, 29]-code) | [i] | ✔ | |
| 25 | Linear OA(3156, 6604, F3, 28) (dual of [6604, 6448, 29]-code) | [i] | ✔ | |
| 26 | Linear OA(3123, 6600, F3, 22) (dual of [6600, 6477, 23]-code) | [i] | ✔ | |
| 27 | Linear OA(3124, 6604, F3, 22) (dual of [6604, 6480, 23]-code) | [i] | ✔ | |
| 28 | Linear OA(3167, 6614, F3, 29) (dual of [6614, 6447, 30]-code) | [i] | ✔ | |
| 29 | Linear OA(3168, 6616, F3, 29) (dual of [6616, 6448, 30]-code) | [i] | ✔ | |
| 30 | Linear OA(3177, 6625, F3, 30) (dual of [6625, 6448, 31]-code) | [i] | ✔ | |
| 31 | Linear OA(3154, 6595, F3, 28) (dual of [6595, 6441, 29]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 32 | Linear OA(3152, 6593, F3, 27) (dual of [6593, 6441, 28]-code) | [i] | ✔ | |
| 33 | Linear OA(3142, 6583, F3, 26) (dual of [6583, 6441, 27]-code) | [i] | ✔ | |
| 34 | Linear OA(3146, 6596, F3, 26) (dual of [6596, 6450, 27]-code) | [i] | ✔ | |
| 35 | Linear OA(3145, 6594, F3, 26) (dual of [6594, 6449, 27]-code) | [i] | ✔ | |
| 36 | Linear OA(3131, 6572, F3, 25) (dual of [6572, 6441, 26]-code) | [i] | ✔ | |
| 37 | Linear OA(3134, 6585, F3, 24) (dual of [6585, 6451, 25]-code) | [i] | ✔ | |
| 38 | Linear OA(3133, 6583, F3, 24) (dual of [6583, 6450, 25]-code) | [i] | ✔ | |
| 39 | Linear OA(3132, 6581, F3, 24) (dual of [6581, 6449, 25]-code) | [i] | ✔ | |
| 40 | Linear OA(3123, 6572, F3, 23) (dual of [6572, 6449, 24]-code) | [i] | ✔ | |
| 41 | Linear OA(3115, 6572, F3, 22) (dual of [6572, 6457, 23]-code) | [i] | ✔ | |
| 42 | Linear OA(3118, 6585, F3, 21) (dual of [6585, 6467, 22]-code) | [i] | ✔ | |
| 43 | Linear OA(3117, 6583, F3, 21) (dual of [6583, 6466, 22]-code) | [i] | ✔ | |
| 44 | Linear OA(3119, 6584, F3, 22) (dual of [6584, 6465, 23]-code) | [i] | ✔ | |
| 45 | Linear OA(3122, 6595, F3, 22) (dual of [6595, 6473, 23]-code) | [i] | ✔ | |
| 46 | Linear OA(3120, 6593, F3, 21) (dual of [6593, 6473, 22]-code) | [i] | ✔ | |
| 47 | Linear OOA(3113, 3280, F3, 2, 22) (dual of [(3280, 2), 6447, 23]-NRT-code) | [i] | OOA Folding | |
| 48 | Linear OOA(3113, 2187, F3, 3, 22) (dual of [(2187, 3), 6448, 23]-NRT-code) | [i] | ||
| 49 | Linear OOA(3113, 1640, F3, 4, 22) (dual of [(1640, 4), 6447, 23]-NRT-code) | [i] | ||
| 50 | Linear OOA(3113, 1312, F3, 5, 22) (dual of [(1312, 5), 6447, 23]-NRT-code) | [i] | ||