Information on Result #1523051
Linear OOA(3127, 1093, F3, 3, 28) (dual of [(1093, 3), 3152, 29]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3127, 1093, F3, 2, 28) (dual of [(1093, 2), 2059, 29]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3127, 2186, F3, 28) (dual of [2186, 2059, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(3127, 2187, F3, 28) (dual of [2187, 2060, 29]-code), using
- an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- discarding factors / shortening the dual code based on linear OA(3127, 2187, F3, 28) (dual of [2187, 2060, 29]-code), using
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(3127, 546, F3, 5, 28) (dual of [(546, 5), 2603, 29]-NRT-code) | [i] | OOA Folding | |