Information on Result #694198
Linear OA(25104, 643, F25, 53) (dual of [643, 539, 54]-code), using construction X applied to Ce(52) ⊂ Ce(44) based on
- linear OA(2597, 625, F25, 53) (dual of [625, 528, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(2586, 625, F25, 45) (dual of [625, 539, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(257, 18, F25, 7) (dual of [18, 11, 8]-code or 18-arc in PG(6,25)), using
- discarding factors / shortening the dual code based on linear OA(257, 25, F25, 7) (dual of [25, 18, 8]-code or 25-arc in PG(6,25)), using
- Reed–Solomon code RS(18,25) [i]
- discarding factors / shortening the dual code based on linear OA(257, 25, F25, 7) (dual of [25, 18, 8]-code or 25-arc in PG(6,25)), 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(25104, 321, F25, 2, 53) (dual of [(321, 2), 538, 54]-NRT-code) | [i] | OOA Folding | |