Information on Result #694287
Linear OA(2575, 648, F25, 36) (dual of [648, 573, 37]-code), using construction X applied to Ce(35) ⊂ Ce(27) based on
- 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(2552, 625, F25, 28) (dual of [625, 573, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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(2575, 606, F25, 2, 36) (dual of [(606, 2), 1137, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (39, 75, 606)-net over F25 | [i] | ||
| 3 | Linear OOA(2575, 324, F25, 2, 36) (dual of [(324, 2), 573, 37]-NRT-code) | [i] | OOA Folding | |