Information on Result #611662
Linear OA(349, 6561, F3, 10) (dual of [6561, 6512, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10
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(357, 6569, F3, 11) (dual of [6569, 6512, 12]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(350, 6570, F3, 10) (dual of [6570, 6520, 11]-code) | [i] | ✔ | |
| 3 | Linear OA(366, 6578, F3, 12) (dual of [6578, 6512, 13]-code) | [i] | ✔ | |
| 4 | Linear OA(368, 6574, F3, 13) (dual of [6574, 6506, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(369, 6581, F3, 13) (dual of [6581, 6512, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(352, 6574, F3, 10) (dual of [6574, 6522, 11]-code) | [i] | ✔ | |
| 7 | Linear OA(353, 6581, F3, 10) (dual of [6581, 6528, 11]-code) | [i] | ✔ | |
| 8 | Linear OA(379, 6591, F3, 14) (dual of [6591, 6512, 15]-code) | [i] | ✔ | |
| 9 | Linear OA(388, 6593, F3, 15) (dual of [6593, 6505, 16]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(378, 6583, F3, 14) (dual of [6583, 6505, 15]-code) | [i] | ✔ | |
| 11 | Linear OA(367, 6572, F3, 13) (dual of [6572, 6505, 14]-code) | [i] | ✔ | |
| 12 | Linear OA(370, 6585, F3, 12) (dual of [6585, 6515, 13]-code) | [i] | ✔ | |
| 13 | Linear OA(369, 6583, F3, 12) (dual of [6583, 6514, 13]-code) | [i] | ✔ | |
| 14 | Linear OA(359, 6572, F3, 11) (dual of [6572, 6513, 12]-code) | [i] | ✔ | |
| 15 | Linear OA(351, 6572, F3, 10) (dual of [6572, 6521, 11]-code) | [i] | ✔ | |
| 16 | Linear OA(352, 6573, F3, 10) (dual of [6573, 6521, 11]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 17 | Linear OA(366, 6579, F3, 12) (dual of [6579, 6513, 13]-code) | [i] | ✔ | |
| 18 | Linear OOA(349, 3280, F3, 2, 10) (dual of [(3280, 2), 6511, 11]-NRT-code) | [i] | OOA Folding | |
| 19 | Linear OOA(349, 2187, F3, 3, 10) (dual of [(2187, 3), 6512, 11]-NRT-code) | [i] | ||
| 20 | Linear OOA(349, 1640, F3, 4, 10) (dual of [(1640, 4), 6511, 11]-NRT-code) | [i] | ||
| 21 | Linear OOA(349, 1312, F3, 5, 10) (dual of [(1312, 5), 6511, 11]-NRT-code) | [i] | ||
| 22 | Linear OOA(349, 1312, F3, 10, 10) (dual of [(1312, 10), 13071, 11]-NRT-code) | [i] | OA Folding and Stacking | |