Information on Result #1464990
Linear OOA(12873, 15654, F128, 2, 31) (dual of [(15654, 2), 31235, 32]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(12873, 15654, F128, 31) (dual of [15654, 15581, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(12873, 16422, F128, 31) (dual of [16422, 16349, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(17) [i] based on
- linear OA(12861, 16384, F128, 31) (dual of [16384, 16323, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(12835, 16384, F128, 18) (dual of [16384, 16349, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(30) ⊂ Ce(17) [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(12873, 7827, F128, 3, 31) (dual of [(7827, 3), 23408, 32]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(12873, 7827, F128, 4, 31) (dual of [(7827, 4), 31235, 32]-NRT-code) | [i] | ||