Information on Result #675411
Linear OA(3225, 6561, F3, 43) (dual of [6561, 6336, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43
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(3233, 6569, F3, 44) (dual of [6569, 6336, 45]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(3226, 6570, F3, 43) (dual of [6570, 6344, 44]-code) | [i] | ✔ | |
| 3 | Linear OA(3244, 6574, F3, 46) (dual of [6574, 6330, 47]-code) | [i] | ✔ | |
| 4 | Linear OA(3245, 6581, F3, 46) (dual of [6581, 6336, 47]-code) | [i] | ✔ | |
| 5 | Linear OA(3226, 6578, F3, 42) (dual of [6578, 6352, 43]-code) | [i] | ✔ | |
| 6 | Linear OA(3228, 6574, F3, 43) (dual of [6574, 6346, 44]-code) | [i] | ✔ | |
| 7 | Linear OA(3229, 6581, F3, 43) (dual of [6581, 6352, 44]-code) | [i] | ✔ | |
| 8 | Linear OA(3232, 6588, F3, 43) (dual of [6588, 6356, 44]-code) | [i] | ✔ | |
| 9 | Linear OA(3233, 6593, F3, 43) (dual of [6593, 6360, 44]-code) | [i] | ✔ | |
| 10 | Linear OA(3231, 6591, F3, 42) (dual of [6591, 6360, 43]-code) | [i] | ✔ | |
| 11 | Linear OA(3242, 6618, F3, 43) (dual of [6618, 6376, 44]-code) | [i] | ✔ | |
| 12 | Linear OA(3246, 6630, F3, 43) (dual of [6630, 6384, 44]-code) | [i] | ✔ | |
| 13 | Linear OA(3242, 6626, F3, 42) (dual of [6626, 6384, 43]-code) | [i] | ✔ | |
| 14 | Linear OA(3250, 6642, F3, 43) (dual of [6642, 6392, 44]-code) | [i] | ✔ | |
| 15 | Linear OA(3241, 6617, F3, 43) (dual of [6617, 6376, 44]-code) | [i] | ✔ | |
| 16 | Linear OA(3239, 6614, F3, 42) (dual of [6614, 6375, 43]-code) | [i] | ✔ | |
| 17 | Linear OA(3241, 6625, F3, 42) (dual of [6625, 6384, 43]-code) | [i] | ✔ | |
| 18 | Linear OA(3248, 6640, F3, 42) (dual of [6640, 6392, 43]-code) | [i] | ✔ | |
| 19 | Linear OA(3243, 6572, F3, 46) (dual of [6572, 6329, 47]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 20 | Linear OA(3246, 6585, F3, 45) (dual of [6585, 6339, 46]-code) | [i] | ✔ | |
| 21 | Linear OA(3245, 6583, F3, 45) (dual of [6583, 6338, 46]-code) | [i] | ✔ | |
| 22 | Linear OA(3247, 6584, F3, 46) (dual of [6584, 6337, 47]-code) | [i] | ✔ | |
| 23 | Linear OA(3235, 6572, F3, 44) (dual of [6572, 6337, 45]-code) | [i] | ✔ | |
| 24 | Linear OA(3227, 6572, F3, 43) (dual of [6572, 6345, 44]-code) | [i] | ✔ | |
| 25 | Linear OA(3230, 6585, F3, 42) (dual of [6585, 6355, 43]-code) | [i] | ✔ | |
| 26 | Linear OA(3229, 6583, F3, 42) (dual of [6583, 6354, 43]-code) | [i] | ✔ | |
| 27 | Linear OA(3228, 6581, F3, 42) (dual of [6581, 6353, 43]-code) | [i] | ✔ | |
| 28 | Linear OA(3234, 6595, F3, 43) (dual of [6595, 6361, 44]-code) | [i] | ✔ | |
| 29 | Linear OA(3232, 6593, F3, 42) (dual of [6593, 6361, 43]-code) | [i] | ✔ | |
| 30 | Linear OOA(3225, 2187, F3, 3, 43) (dual of [(2187, 3), 6336, 44]-NRT-code) | [i] | OOA Folding | |
| 31 | Linear OOA(3225, 1640, F3, 4, 43) (dual of [(1640, 4), 6335, 44]-NRT-code) | [i] | ||
| 32 | Linear OOA(3225, 1312, F3, 5, 43) (dual of [(1312, 5), 6335, 44]-NRT-code) | [i] | ||