Information on Result #694284
Linear OA(2581, 648, F25, 39) (dual of [648, 567, 40]-code), using construction X applied to Ce(38) ⊂ Ce(30) based on
- linear OA(2574, 625, F25, 39) (dual of [625, 551, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(2558, 625, F25, 31) (dual of [625, 567, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(257, 23, F25, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,25)), using
- discarding factors / shortening the dual code based on linear OA(257, 25, F25, 7) (dual of [25, 18, 8]-code or 25-arc in PG(6,25)), using
- Reed–Solomon code RS(18,25) [i]
- discarding factors / shortening the dual code based on linear OA(257, 25, F25, 7) (dual of [25, 18, 8]-code or 25-arc in PG(6,25)), 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(2581, 626, F25, 2, 39) (dual of [(626, 2), 1171, 40]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (42, 81, 626)-net over F25 | [i] | ||
| 3 | Linear OOA(2581, 324, F25, 2, 39) (dual of [(324, 2), 567, 40]-NRT-code) | [i] | OOA Folding | |