Information on Result #1607439
Linear OOA(3185, 19691, F3, 4, 28) (dual of [(19691, 4), 78579, 29]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3185, 19691, F3, 3, 28) (dual of [(19691, 3), 58888, 29]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3185, 59073, F3, 28) (dual of [59073, 58888, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(24) [i] based on
- linear OA(3181, 59049, F3, 28) (dual of [59049, 58868, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3161, 59049, F3, 25) (dual of [59049, 58888, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(34, 24, F3, 2) (dual of [24, 20, 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
- construction X applied to Ce(27) ⊂ Ce(24) [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(3186, 19691, F3, 4, 28) (dual of [(19691, 4), 78578, 29]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3187, 19691, F3, 4, 28) (dual of [(19691, 4), 78577, 29]-NRT-code) | [i] | ||