Information on Result #1464633
Linear OOA(12848, 16413, F128, 2, 20) (dual of [(16413, 2), 32778, 21]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(12848, 16413, F128, 20) (dual of [16413, 16365, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(9) [i] based on
- linear OA(12839, 16384, F128, 20) (dual of [16384, 16345, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(12819, 16384, F128, 10) (dual of [16384, 16365, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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
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(12848, 8206, F128, 3, 20) (dual of [(8206, 3), 24570, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(12848, 8206, F128, 4, 20) (dual of [(8206, 4), 32776, 21]-NRT-code) | [i] | ||