Information on Result #1461575
Linear OOA(3299, 787655, F32, 2, 25) (dual of [(787655, 2), 1575211, 26]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3299, 787655, F32, 25) (dual of [787655, 787556, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3299, 1048590, F32, 25) (dual of [1048590, 1048491, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- linear OA(3297, 1048576, F32, 25) (dual of [1048576, 1048479, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3285, 1048576, F32, 22) (dual of [1048576, 1048491, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(322, 14, F32, 2) (dual of [14, 12, 3]-code or 14-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(24) ⊂ Ce(21) [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(3299, 131275, F32, 26, 25) (dual of [(131275, 26), 3413051, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |