Information on Result #676636
Linear OA(341, 745, F3, 10) (dual of [745, 704, 11]-code), using construction X applied to Ce(9) ⊂ Ce(6) based on
- linear OA(337, 729, F3, 10) (dual of [729, 692, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(325, 729, F3, 7) (dual of [729, 704, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(341, 451, F3, 2, 10) (dual of [(451, 2), 861, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(341, 451, F3, 3, 10) (dual of [(451, 3), 1312, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(341, 451, F3, 4, 10) (dual of [(451, 4), 1763, 11]-NRT-code) | [i] | ||
| 4 | Linear OOA(341, 451, F3, 5, 10) (dual of [(451, 5), 2214, 11]-NRT-code) | [i] | ||
| 5 | Digital (31, 41, 451)-net over F3 | [i] | ||