Information on Result #676634
Linear OA(347, 745, F3, 11) (dual of [745, 698, 12]-code), using construction X applied to Ce(10) ⊂ Ce(7) based on
- linear OA(343, 729, F3, 11) (dual of [729, 686, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(331, 729, F3, 8) (dual of [729, 698, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(347, 562, F3, 2, 11) (dual of [(562, 2), 1077, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(347, 562, F3, 3, 11) (dual of [(562, 3), 1639, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(347, 562, F3, 4, 11) (dual of [(562, 4), 2201, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(347, 562, F3, 5, 11) (dual of [(562, 5), 2763, 12]-NRT-code) | [i] | ||
| 5 | Digital (36, 47, 562)-net over F3 | [i] | ||