Information on Result #1615087
Linear OOA(12872, 9191, F128, 4, 32) (dual of [(9191, 4), 36692, 33]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(12872, 9191, F128, 32) (dual of [9191, 9119, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(12872, 16413, F128, 32) (dual of [16413, 16341, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(21) [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(12843, 16384, F128, 22) (dual of [16384, 16341, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(1289, 29, F128, 9) (dual of [29, 20, 10]-code or 29-arc in PG(8,128)), using
- discarding factors / shortening the dual code based on linear OA(1289, 128, F128, 9) (dual of [128, 119, 10]-code or 128-arc in PG(8,128)), using
- Reed–Solomon code RS(119,128) [i]
- discarding factors / shortening the dual code based on linear OA(1289, 128, F128, 9) (dual of [128, 119, 10]-code or 128-arc in PG(8,128)), using
- construction X applied to Ce(31) ⊂ Ce(21) [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(12872, 2297, F128, 36, 32) (dual of [(2297, 36), 82620, 33]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |