Information on Result #694206
Linear OA(2587, 642, F25, 43) (dual of [642, 555, 44]-code), using construction X applied to Ce(42) ⊂ Ce(36) based on
- 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(2570, 625, F25, 37) (dual of [625, 555, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(255, 17, F25, 5) (dual of [17, 12, 6]-code or 17-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 OOA(2587, 321, F25, 2, 43) (dual of [(321, 2), 555, 44]-NRT-code) | [i] | OOA Folding | |