Information on Result #694657
Linear OA(2573, 319, F25, 39) (dual of [319, 246, 40]-code), using construction X applied to Ce(38) ⊂ Ce(35) based on
- linear OA(2571, 313, F25, 39) (dual of [313, 242, 40]-code), using an extension Ce(38) of the narrow-sense BCH-code C(I) with length 312 | 252−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [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(252, 6, F25, 2) (dual of [6, 4, 3]-code or 6-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(2573, 159, F25, 2, 39) (dual of [(159, 2), 245, 40]-NRT-code) | [i] | OOA Folding | |