Information on Result #694234
Linear OA(25104, 647, F25, 52) (dual of [647, 543, 53]-code), using construction X applied to Ce(51) ⊂ Ce(42) based on
- linear OA(2596, 625, F25, 52) (dual of [625, 529, 53]-code), using an extension Ce(51) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(2582, 625, F25, 43) (dual of [625, 543, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(258, 22, F25, 8) (dual of [22, 14, 9]-code or 22-arc in PG(7,25)), using
- discarding factors / shortening the dual code based on linear OA(258, 25, F25, 8) (dual of [25, 17, 9]-code or 25-arc in PG(7,25)), using
- Reed–Solomon code RS(17,25) [i]
- discarding factors / shortening the dual code based on linear OA(258, 25, F25, 8) (dual of [25, 17, 9]-code or 25-arc in PG(7,25)), 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 OA(25103, 646, F25, 51) (dual of [646, 543, 52]-code) | [i] | Truncation | |
| 2 | Linear OOA(25104, 323, F25, 2, 52) (dual of [(323, 2), 542, 53]-NRT-code) | [i] | OOA Folding | |