Information on Result #676626
Linear OA(365, 745, F3, 16) (dual of [745, 680, 17]-code), using construction X applied to Ce(15) ⊂ Ce(12) based on
- 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 [i]
- linear OA(349, 729, F3, 13) (dual of [729, 680, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(34, 16, F3, 2) (dual of [16, 12, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
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 OOA(365, 447, F3, 2, 16) (dual of [(447, 2), 829, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(365, 447, F3, 3, 16) (dual of [(447, 3), 1276, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(365, 447, F3, 4, 16) (dual of [(447, 4), 1723, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(365, 447, F3, 5, 16) (dual of [(447, 5), 2170, 17]-NRT-code) | [i] | ||
| 5 | Digital (49, 65, 447)-net over F3 | [i] | ||