Information on Result #1465069
Linear OOA(12877, 2097195, F128, 2, 23) (dual of [(2097195, 2), 4194313, 24]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(12877, 2097195, F128, 23) (dual of [2097195, 2097118, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(11) [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(12834, 2097152, F128, 12) (dual of [2097152, 2097118, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(12810, 43, F128, 10) (dual of [43, 33, 11]-code or 43-arc in PG(9,128)), using
- discarding factors / shortening the dual code based on linear OA(12810, 128, F128, 10) (dual of [128, 118, 11]-code or 128-arc in PG(9,128)), using
- Reed–Solomon code RS(118,128) [i]
- discarding factors / shortening the dual code based on linear OA(12810, 128, F128, 10) (dual of [128, 118, 11]-code or 128-arc in PG(9,128)), 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(12877, 1048597, F128, 3, 23) (dual of [(1048597, 3), 3145714, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(12877, 1048597, F128, 4, 23) (dual of [(1048597, 4), 4194311, 24]-NRT-code) | [i] | ||