Information on Result #1648969
Linear OOA(3210, 59067, F3, 5, 28) (dual of [(59067, 5), 295125, 29]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3210, 59067, F3, 3, 28) (dual of [(59067, 3), 176991, 29]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3210, 177201, F3, 28) (dual of [177201, 176991, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(3210, 177202, F3, 28) (dual of [177202, 176992, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(21) [i] based on
- linear OA(3199, 177147, F3, 28) (dual of [177147, 176948, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3155, 177147, F3, 22) (dual of [177147, 176992, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(311, 55, F3, 5) (dual of [55, 44, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to Ce(27) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(3210, 177202, F3, 28) (dual of [177202, 176992, 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(3211, 59067, F3, 5, 28) (dual of [(59067, 5), 295124, 29]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3210, 19688, F3, 35, 28) (dual of [(19688, 35), 688870, 29]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |