Information on Result #1464830
Linear OOA(12863, 13469, F128, 2, 27) (dual of [(13469, 2), 26875, 28]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(12863, 13469, F128, 27) (dual of [13469, 13406, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(12863, 16416, F128, 27) (dual of [16416, 16353, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(15) [i] based on
- linear OA(12853, 16384, F128, 27) (dual of [16384, 16331, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(12831, 16384, F128, 16) (dual of [16384, 16353, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(26) ⊂ Ce(15) [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(12863, 6734, F128, 3, 27) (dual of [(6734, 3), 20139, 28]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(12863, 6734, F128, 4, 27) (dual of [(6734, 4), 26873, 28]-NRT-code) | [i] | ||