Information on Result #1464861
Linear OOA(12865, 12766, F128, 2, 28) (dual of [(12766, 2), 25467, 29]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(12865, 12766, F128, 28) (dual of [12766, 12701, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(12865, 16416, F128, 28) (dual of [16416, 16351, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(16) [i] based on
- linear OA(12855, 16384, F128, 28) (dual of [16384, 16329, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(12833, 16384, F128, 17) (dual of [16384, 16351, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(12810, 32, F128, 10) (dual of [32, 22, 11]-code or 32-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
- construction X applied to Ce(27) ⊂ Ce(16) [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(12865, 6383, F128, 3, 28) (dual of [(6383, 3), 19084, 29]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(12865, 6383, F128, 4, 28) (dual of [(6383, 4), 25467, 29]-NRT-code) | [i] | ||