Information on Result #694127
Linear OA(2579, 636, F25, 40) (dual of [636, 557, 41]-code), using construction X applied to Ce(39) ⊂ Ce(35) based on
- linear OA(2576, 625, F25, 40) (dual of [625, 549, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(2568, 625, F25, 36) (dual of [625, 557, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(253, 11, F25, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,25) or 11-cap in PG(2,25)), using
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), using
- Reed–Solomon code RS(22,25) [i]
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), using
Mode: Constructive and 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(2579, 318, F25, 2, 40) (dual of [(318, 2), 557, 41]-NRT-code) | [i] | OOA Folding | |