Information on Result #1736022
Digital (24, 32, 195321)-net over F25, using net defined by OOA based on linear OOA(2532, 195321, F25, 10, 8) (dual of [(195321, 10), 1953178, 9]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2532, 390643, F25, 2, 8) (dual of [(390643, 2), 781254, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2532, 390644, F25, 2, 8) (dual of [(390644, 2), 781256, 9]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2532, 390644, F25, 8) (dual of [390644, 390612, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(3) [i] based on
- linear OA(2529, 390625, F25, 8) (dual of [390625, 390596, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(2513, 390625, F25, 4) (dual of [390625, 390612, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(253, 19, F25, 3) (dual of [19, 16, 4]-code or 19-arc in PG(2,25) or 19-cap in PG(2,25)), using
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), using
- Reed–Solomon code RS(22,25) [i]
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), using
- construction X applied to Ce(7) ⊂ Ce(3) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2532, 390644, F25, 8) (dual of [390644, 390612, 9]-code), using
- discarding factors / shortening the dual code based on linear OOA(2532, 390644, F25, 2, 8) (dual of [(390644, 2), 781256, 9]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.