Information on Result #694673
Linear OA(2575, 321, F25, 40) (dual of [321, 246, 41]-code), using construction X applied to Ce(39) ⊂ Ce(35) based on
- linear OA(2572, 313, F25, 40) (dual of [313, 241, 41]-code), using an extension Ce(39) of the narrow-sense BCH-code C(I) with length 312 | 252−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(2567, 313, F25, 36) (dual of [313, 246, 37]-code), using an extension Ce(35) of the narrow-sense BCH-code C(I) with length 312 | 252−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(253, 8, F25, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,25) or 8-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(2575, 160, F25, 2, 40) (dual of [(160, 2), 245, 41]-NRT-code) | [i] | OOA Folding | |