Information on Result #694703
Linear OA(2564, 215, F25, 35) (dual of [215, 151, 36]-code), using construction X applied to Ce(34) ⊂ Ce(31) based on
- linear OA(2562, 209, F25, 35) (dual of [209, 147, 36]-code), using an extension Ce(34) of the narrow-sense BCH-code C(I) with length 208 | 252−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(2558, 209, F25, 32) (dual of [209, 151, 33]-code), using an extension Ce(31) of the narrow-sense BCH-code C(I) with length 208 | 252−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(252, 6, F25, 2) (dual of [6, 4, 3]-code or 6-arc in PG(1,25)), using
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), using
- Reed–Solomon code RS(23,25) [i]
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), 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(2564, 107, F25, 2, 35) (dual of [(107, 2), 150, 36]-NRT-code) | [i] | OOA Folding | |