Information on Result #1465044
Linear OOA(12876, 16425, F128, 2, 32) (dual of [(16425, 2), 32774, 33]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(12876, 16425, F128, 32) (dual of [16425, 16349, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(17) [i] based on
- linear OA(12863, 16384, F128, 32) (dual of [16384, 16321, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [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(12813, 41, F128, 13) (dual of [41, 28, 14]-code or 41-arc in PG(12,128)), using
- discarding factors / shortening the dual code based on linear OA(12813, 128, F128, 13) (dual of [128, 115, 14]-code or 128-arc in PG(12,128)), using
- Reed–Solomon code RS(115,128) [i]
- discarding factors / shortening the dual code based on linear OA(12813, 128, F128, 13) (dual of [128, 115, 14]-code or 128-arc in PG(12,128)), 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(12876, 8212, F128, 3, 32) (dual of [(8212, 3), 24560, 33]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(12876, 8212, F128, 4, 32) (dual of [(8212, 4), 32772, 33]-NRT-code) | [i] | ||