Information on Result #611784
Linear OA(361, 729, F3, 16) (dual of [729, 668, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16
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(369, 738, F3, 16) (dual of [738, 669, 17]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(367, 735, F3, 17) (dual of [735, 668, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(362, 736, F3, 16) (dual of [736, 674, 17]-code) | [i] | ✔ | |
| 4 | Linear OA(374, 742, F3, 18) (dual of [742, 668, 19]-code) | [i] | ✔ | |
| 5 | Linear OA(376, 742, F3, 19) (dual of [742, 666, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(377, 745, F3, 19) (dual of [745, 668, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(364, 742, F3, 16) (dual of [742, 678, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(365, 745, F3, 16) (dual of [745, 680, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(384, 749, F3, 20) (dual of [749, 665, 21]-code) | [i] | ✔ | |
| 10 | Linear OA(385, 753, F3, 20) (dual of [753, 668, 21]-code) | [i] | ✔ | |
| 11 | Linear OA(368, 754, F3, 16) (dual of [754, 686, 17]-code) | [i] | ✔ | |
| 12 | Linear OA(366, 749, F3, 15) (dual of [749, 683, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(393, 757, F3, 22) (dual of [757, 664, 23]-code) | [i] | ✔ | |
| 14 | Linear OA(395, 763, F3, 22) (dual of [763, 668, 23]-code) | [i] | ✔ | |
| 15 | Linear OA(393, 761, F3, 21) (dual of [761, 668, 22]-code) | [i] | ✔ | |
| 16 | Linear OA(369, 757, F3, 16) (dual of [757, 688, 17]-code) | [i] | ✔ | |
| 17 | Linear OA(375, 738, F3, 19) (dual of [738, 663, 20]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 18 | Linear OA(377, 747, F3, 18) (dual of [747, 670, 19]-code) | [i] | ✔ | |
| 19 | Linear OA(376, 745, F3, 18) (dual of [745, 669, 19]-code) | [i] | ✔ | |
| 20 | Linear OA(369, 738, F3, 17) (dual of [738, 669, 18]-code) | [i] | ✔ | |
| 21 | Linear OA(363, 738, F3, 16) (dual of [738, 675, 17]-code) | [i] | ✔ | |
| 22 | Linear OA(365, 747, F3, 15) (dual of [747, 682, 16]-code) | [i] | ✔ | |
| 23 | Linear OA(367, 748, F3, 16) (dual of [748, 681, 17]-code) | [i] | ✔ | |
| 24 | Linear OOA(361, 243, F3, 3, 16) (dual of [(243, 3), 668, 17]-NRT-code) | [i] | OOA Folding | |