Information on Result #1464816
Linear OOA(12862, 16419, F128, 2, 26) (dual of [(16419, 2), 32776, 27]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(12862, 16419, F128, 26) (dual of [16419, 16357, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(13) [i] based on
- linear OA(12851, 16384, F128, 26) (dual of [16384, 16333, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(12827, 16384, F128, 14) (dual of [16384, 16357, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(12811, 35, F128, 11) (dual of [35, 24, 12]-code or 35-arc in PG(10,128)), using
- discarding factors / shortening the dual code based on linear OA(12811, 128, F128, 11) (dual of [128, 117, 12]-code or 128-arc in PG(10,128)), using
- Reed–Solomon code RS(117,128) [i]
- discarding factors / shortening the dual code based on linear OA(12811, 128, F128, 11) (dual of [128, 117, 12]-code or 128-arc in PG(10,128)), 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(12862, 8209, F128, 3, 26) (dual of [(8209, 3), 24565, 27]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(12862, 8209, F128, 4, 26) (dual of [(8209, 4), 32774, 27]-NRT-code) | [i] | ||