Information on Result #676628
Linear OA(359, 745, F3, 14) (dual of [745, 686, 15]-code), using construction X applied to Ce(13) ⊂ Ce(10) based on
- linear OA(355, 729, F3, 14) (dual of [729, 674, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- 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(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(359, 525, F3, 2, 14) (dual of [(525, 2), 991, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(359, 525, F3, 3, 14) (dual of [(525, 3), 1516, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(359, 525, F3, 4, 14) (dual of [(525, 4), 2041, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(359, 525, F3, 5, 14) (dual of [(525, 5), 2566, 15]-NRT-code) | [i] | ||
| 5 | Digital (45, 59, 525)-net over F3 | [i] | ||