Information on Result #1465032
Linear OOA(12875, 1820091, F128, 2, 23) (dual of [(1820091, 2), 3640107, 24]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(12875, 1820091, F128, 23) (dual of [1820091, 1820016, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(12875, 2097187, F128, 23) (dual of [2097187, 2097112, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(13) [i] based on
- linear OA(12867, 2097152, F128, 23) (dual of [2097152, 2097085, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(1288, 35, F128, 8) (dual of [35, 27, 9]-code or 35-arc in PG(7,128)), using
- discarding factors / shortening the dual code based on linear OA(1288, 128, F128, 8) (dual of [128, 120, 9]-code or 128-arc in PG(7,128)), using
- Reed–Solomon code RS(120,128) [i]
- discarding factors / shortening the dual code based on linear OA(1288, 128, F128, 8) (dual of [128, 120, 9]-code or 128-arc in PG(7,128)), using
- construction X applied to Ce(22) ⊂ 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(12875, 910045, F128, 3, 23) (dual of [(910045, 3), 2730060, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(12875, 910045, F128, 4, 23) (dual of [(910045, 4), 3640105, 24]-NRT-code) | [i] | ||