Information on Result #724487
Linear OA(2592, 668, F25, 41) (dual of [668, 576, 42]-code), using construction XX applied to C1 = C([616,25]), C2 = C([1,32]), C3 = C1 + C2 = C([1,25]), and C∩ = C1 ∩ C2 = C([616,32]) based on
- linear OA(2565, 624, F25, 34) (dual of [624, 559, 35]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−8,−7,…,25}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(2561, 624, F25, 32) (dual of [624, 563, 33]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(2578, 624, F25, 41) (dual of [624, 546, 42]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−8,−7,…,32}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(2548, 624, F25, 25) (dual of [624, 576, 26]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- 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]
- linear OA(256, 19, F25, 6) (dual of [19, 13, 7]-code or 19-arc in PG(5,25)), using
- discarding factors / shortening the dual code based on linear OA(256, 25, F25, 6) (dual of [25, 19, 7]-code or 25-arc in PG(5,25)), using
- Reed–Solomon code RS(19,25) [i]
- discarding factors / shortening the dual code based on linear OA(256, 25, F25, 6) (dual of [25, 19, 7]-code or 25-arc in PG(5,25)), 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(2592, 334, F25, 2, 41) (dual of [(334, 2), 576, 42]-NRT-code) | [i] | OOA Folding | |