Information on Result #1409228
Linear OOA(3110, 506, F3, 2, 28) (dual of [(506, 2), 902, 29]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3110, 506, F3, 28) (dual of [506, 396, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(3110, 736, F3, 28) (dual of [736, 626, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- linear OA(3109, 729, F3, 28) (dual of [729, 620, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3103, 729, F3, 26) (dual of [729, 626, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(31, 7, F3, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
Mode: 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(3110, 253, F3, 3, 28) (dual of [(253, 3), 649, 29]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3110, 253, F3, 4, 28) (dual of [(253, 4), 902, 29]-NRT-code) | [i] | ||