Information on Result #1457215
Linear OOA(2595, 12029, F25, 2, 32) (dual of [(12029, 2), 23963, 33]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(2595, 12029, F25, 32) (dual of [12029, 11934, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(2595, 15644, F25, 32) (dual of [15644, 15549, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(26) [i] based on
- linear OA(2591, 15625, F25, 32) (dual of [15625, 15534, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(2576, 15625, F25, 27) (dual of [15625, 15549, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [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(31) ⊂ Ce(26) [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(2595, 1503, F25, 34, 32) (dual of [(1503, 34), 51007, 33]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |