Information on Result #1457648
Linear OOA(25107, 12852, F25, 2, 36) (dual of [(12852, 2), 25597, 37]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(25107, 12852, F25, 36) (dual of [12852, 12745, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(25107, 15644, F25, 36) (dual of [15644, 15537, 37]-code), using
- construction X applied to Ce(35) ⊂ Ce(30) [i] based on
- linear OA(25103, 15625, F25, 36) (dual of [15625, 15522, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(2588, 15625, F25, 31) (dual of [15625, 15537, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(254, 19, F25, 4) (dual of [19, 15, 5]-code or 19-arc in PG(3,25)), using
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using
- Reed–Solomon code RS(21,25) [i]
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using
- construction X applied to Ce(35) ⊂ Ce(30) [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(25107, 1427, F25, 38, 36) (dual of [(1427, 38), 54119, 37]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |