Information on Result #694117
Linear OA(25101, 638, F25, 52) (dual of [638, 537, 53]-code), using construction X applied to Ce(51) ⊂ Ce(45) 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(2588, 625, F25, 46) (dual of [625, 537, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(255, 13, F25, 5) (dual of [13, 8, 6]-code or 13-arc in PG(4,25)), using
- discarding factors / shortening the dual code based on linear OA(255, 25, F25, 5) (dual of [25, 20, 6]-code or 25-arc in PG(4,25)), using
- Reed–Solomon code RS(20,25) [i]
- discarding factors / shortening the dual code based on linear OA(255, 25, F25, 5) (dual of [25, 20, 6]-code or 25-arc in PG(4,25)), 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(25100, 637, F25, 51) (dual of [637, 537, 52]-code) | [i] | Truncation | |
| 2 | Linear OOA(25101, 319, F25, 2, 52) (dual of [(319, 2), 537, 53]-NRT-code) | [i] | OOA Folding | |