Information on Result #675436
Linear OA(365, 6561, F3, 13) (dual of [6561, 6496, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
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(373, 6569, F3, 14) (dual of [6569, 6496, 15]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(366, 6570, F3, 13) (dual of [6570, 6504, 14]-code) | [i] | ✔ | |
| 3 | Linear OA(384, 6574, F3, 16) (dual of [6574, 6490, 17]-code) | [i] | ✔ | |
| 4 | Linear OA(385, 6581, F3, 16) (dual of [6581, 6496, 17]-code) | [i] | ✔ | |
| 5 | Linear OA(366, 6578, F3, 12) (dual of [6578, 6512, 13]-code) | [i] | ✔ | |
| 6 | Linear OA(368, 6574, F3, 13) (dual of [6574, 6506, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(369, 6581, F3, 13) (dual of [6581, 6512, 14]-code) | [i] | ✔ | |
| 8 | Linear OA(395, 6591, F3, 17) (dual of [6591, 6496, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(3106, 6595, F3, 19) (dual of [6595, 6489, 20]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(3104, 6593, F3, 18) (dual of [6593, 6489, 19]-code) | [i] | ✔ | |
| 11 | Linear OA(394, 6583, F3, 17) (dual of [6583, 6489, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(398, 6596, F3, 17) (dual of [6596, 6498, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(397, 6594, F3, 17) (dual of [6594, 6497, 18]-code) | [i] | ✔ | |
| 14 | Linear OA(383, 6572, F3, 16) (dual of [6572, 6489, 17]-code) | [i] | ✔ | |
| 15 | Linear OA(386, 6585, F3, 15) (dual of [6585, 6499, 16]-code) | [i] | ✔ | |
| 16 | Linear OA(387, 6584, F3, 16) (dual of [6584, 6497, 17]-code) | [i] | ✔ | |
| 17 | Linear OA(375, 6572, F3, 14) (dual of [6572, 6497, 15]-code) | [i] | ✔ | |
| 18 | Linear OA(367, 6572, F3, 13) (dual of [6572, 6505, 14]-code) | [i] | ✔ | |
| 19 | Linear OA(370, 6585, F3, 12) (dual of [6585, 6515, 13]-code) | [i] | ✔ | |
| 20 | Linear OA(369, 6583, F3, 12) (dual of [6583, 6514, 13]-code) | [i] | ✔ | |
| 21 | Linear OA(366, 6579, F3, 12) (dual of [6579, 6513, 13]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 22 | Linear OOA(365, 2187, F3, 3, 13) (dual of [(2187, 3), 6496, 14]-NRT-code) | [i] | OOA Folding | |
| 23 | Linear OOA(365, 1640, F3, 4, 13) (dual of [(1640, 4), 6495, 14]-NRT-code) | [i] | ||
| 24 | Linear OOA(365, 1312, F3, 5, 13) (dual of [(1312, 5), 6495, 14]-NRT-code) | [i] | ||
| 25 | Linear OOA(365, 1093, F3, 13, 13) (dual of [(1093, 13), 14144, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |