Information on Result #694231
Linear OA(25109, 646, F25, 55) (dual of [646, 537, 56]-code), using construction X applied to Ce(54) ⊂ Ce(45) based on
- linear OA(25101, 625, F25, 55) (dual of [625, 524, 56]-code), using an extension Ce(54) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [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(258, 21, F25, 8) (dual of [21, 13, 9]-code or 21-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 OOA(25109, 323, F25, 2, 55) (dual of [(323, 2), 537, 56]-NRT-code) | [i] | OOA Folding | |