Information on Result #611664
Linear OA(361, 59049, F3, 10) (dual of [59049, 58988, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, 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(366, 59055, F3, 10) (dual of [59055, 58989, 11]-code) | [i] | (u, u+v)-Construction | |
2 | Linear OA(371, 59059, F3, 11) (dual of [59059, 58988, 12]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
3 | Linear OA(362, 59060, F3, 10) (dual of [59060, 58998, 11]-code) | [i] | ✔ | |
4 | Linear OA(382, 59070, F3, 12) (dual of [59070, 58988, 13]-code) | [i] | ✔ | |
5 | Linear OA(385, 59073, F3, 13) (dual of [59073, 58988, 14]-code) | [i] | ✔ | |
6 | Linear OA(365, 59073, F3, 10) (dual of [59073, 59008, 11]-code) | [i] | ✔ | |
7 | Linear OA(397, 59085, F3, 14) (dual of [59085, 58988, 15]-code) | [i] | ✔ | |
8 | Linear OA(3109, 59090, F3, 15) (dual of [59090, 58981, 16]-code) | [i] | ✔ | |
9 | Linear OA(386, 59077, F3, 12) (dual of [59077, 58991, 13]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
10 | Linear OA(362, 59061, F3, 10) (dual of [59061, 58999, 11]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
11 | Linear OA(382, 59071, F3, 12) (dual of [59071, 58989, 13]-code) | [i] | ✔ | |
12 | Linear OOA(361, 29524, F3, 2, 10) (dual of [(29524, 2), 58987, 11]-NRT-code) | [i] | OOA Folding | |
13 | Linear OOA(361, 19683, F3, 3, 10) (dual of [(19683, 3), 58988, 11]-NRT-code) | [i] | ||
14 | Linear OOA(361, 14762, F3, 4, 10) (dual of [(14762, 4), 58987, 11]-NRT-code) | [i] | ||
15 | Linear OOA(361, 11809, F3, 5, 10) (dual of [(11809, 5), 58984, 11]-NRT-code) | [i] | ||
16 | Linear OOA(361, 11809, F3, 10, 10) (dual of [(11809, 10), 118029, 11]-NRT-code) | [i] | OA Folding and Stacking |