Information on Result #694670
Linear OA(2580, 321, F25, 43) (dual of [321, 241, 44]-code), using construction X applied to Ce(42) ⊂ Ce(39) based on
- linear OA(2578, 313, F25, 43) (dual of [313, 235, 44]-code), using an extension Ce(42) of the narrow-sense BCH-code C(I) with length 312 | 252−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- 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(252, 8, F25, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,25)), using
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), using
- Reed–Solomon code RS(23,25) [i]
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), 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(2580, 160, F25, 2, 43) (dual of [(160, 2), 240, 44]-NRT-code) | [i] | OOA Folding | |