Information on Result #1464963
Linear OOA(12871, 1551439, F128, 2, 22) (dual of [(1551439, 2), 3102807, 23]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(12871, 1551439, F128, 22) (dual of [1551439, 1551368, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(12871, 2097183, F128, 22) (dual of [2097183, 2097112, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(13) [i] based on
- linear OA(12864, 2097152, F128, 22) (dual of [2097152, 2097088, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(12840, 2097152, F128, 14) (dual of [2097152, 2097112, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(1287, 31, F128, 7) (dual of [31, 24, 8]-code or 31-arc in PG(6,128)), using
- discarding factors / shortening the dual code based on linear OA(1287, 128, F128, 7) (dual of [128, 121, 8]-code or 128-arc in PG(6,128)), using
- Reed–Solomon code RS(121,128) [i]
- discarding factors / shortening the dual code based on linear OA(1287, 128, F128, 7) (dual of [128, 121, 8]-code or 128-arc in PG(6,128)), using
- construction X applied to Ce(21) ⊂ Ce(13) [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(12871, 775719, F128, 3, 22) (dual of [(775719, 3), 2327086, 23]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(12871, 775719, F128, 4, 22) (dual of [(775719, 4), 3102805, 23]-NRT-code) | [i] | ||