Information on Result #1464569
Linear OOA(12842, 13435, F128, 2, 18) (dual of [(13435, 2), 26828, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(12842, 13435, F128, 18) (dual of [13435, 13393, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(12842, 16407, F128, 18) (dual of [16407, 16365, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(9) [i] based on
- linear OA(12835, 16384, F128, 18) (dual of [16384, 16349, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(1287, 23, F128, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,128)), using
- discarding factors / shortening the dual code based on linear OA(1287, 128, F128, 7) (dual of [128, 121, 8]-code or 128-arc in PG(6,128)), using
- Reed–Solomon code RS(121,128) [i]
- discarding factors / shortening the dual code based on linear OA(1287, 128, F128, 7) (dual of [128, 121, 8]-code or 128-arc in PG(6,128)), using
- construction X applied to Ce(17) ⊂ Ce(9) [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(12842, 6717, F128, 3, 18) (dual of [(6717, 3), 20109, 19]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(12842, 6717, F128, 4, 18) (dual of [(6717, 4), 26826, 19]-NRT-code) | [i] | ||