Information on Result #1460008
Linear OOA(3227, 567, F32, 2, 13) (dual of [(567, 2), 1107, 14]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3227, 567, F32, 13) (dual of [567, 540, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(3227, 1032, F32, 13) (dual of [1032, 1005, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- linear OA(3225, 1024, F32, 13) (dual of [1024, 999, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(3219, 1024, F32, 10) (dual of [1024, 1005, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(322, 8, F32, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,32)), using
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- Reed–Solomon code RS(30,32) [i]
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- construction X applied to Ce(12) ⊂ 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(3227, 188, F32, 14, 13) (dual of [(188, 14), 2605, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |