Information on Result #1464746
Linear OOA(12857, 16416, F128, 2, 24) (dual of [(16416, 2), 32775, 25]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(12857, 16416, F128, 24) (dual of [16416, 16359, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(12) [i] based on
- linear OA(12847, 16384, F128, 24) (dual of [16384, 16337, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(12825, 16384, F128, 13) (dual of [16384, 16359, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(12810, 32, F128, 10) (dual of [32, 22, 11]-code or 32-arc in PG(9,128)), using
- discarding factors / shortening the dual code based on linear OA(12810, 128, F128, 10) (dual of [128, 118, 11]-code or 128-arc in PG(9,128)), using
- Reed–Solomon code RS(118,128) [i]
- discarding factors / shortening the dual code based on linear OA(12810, 128, F128, 10) (dual of [128, 118, 11]-code or 128-arc in PG(9,128)), 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(12857, 8208, F128, 3, 24) (dual of [(8208, 3), 24567, 25]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(12857, 8208, F128, 4, 24) (dual of [(8208, 4), 32775, 25]-NRT-code) | [i] | ||