Information on Result #1465061
Linear OOA(12877, 14317, F128, 2, 33) (dual of [(14317, 2), 28557, 34]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(12877, 14317, F128, 33) (dual of [14317, 14240, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(12877, 16422, F128, 33) (dual of [16422, 16345, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(19) [i] based on
- linear OA(12865, 16384, F128, 33) (dual of [16384, 16319, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(12839, 16384, F128, 20) (dual of [16384, 16345, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(12812, 38, F128, 12) (dual of [38, 26, 13]-code or 38-arc in PG(11,128)), using
- discarding factors / shortening the dual code based on linear OA(12812, 128, F128, 12) (dual of [128, 116, 13]-code or 128-arc in PG(11,128)), using
- Reed–Solomon code RS(116,128) [i]
- discarding factors / shortening the dual code based on linear OA(12812, 128, F128, 12) (dual of [128, 116, 13]-code or 128-arc in PG(11,128)), using
- construction X applied to Ce(32) ⊂ Ce(19) [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(12877, 7158, F128, 3, 33) (dual of [(7158, 3), 21397, 34]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(12877, 7158, F128, 4, 33) (dual of [(7158, 4), 28555, 34]-NRT-code) | [i] | ||