Information on Result #1737730
Digital (58, 88, 1296)-net over F25, using net defined by OOA based on linear OOA(2588, 1296, F25, 34, 30) (dual of [(1296, 34), 43976, 31]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OOA(2588, 10369, F25, 2, 30) (dual of [(10369, 2), 20650, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2588, 10371, F25, 2, 30) (dual of [(10371, 2), 20654, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2588, 10371, F25, 30) (dual of [10371, 10283, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(2588, 15640, F25, 30) (dual of [15640, 15552, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(25) [i] based on
- linear OA(2585, 15625, F25, 30) (dual of [15625, 15540, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(2573, 15625, F25, 26) (dual of [15625, 15552, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(253, 15, F25, 3) (dual of [15, 12, 4]-code or 15-arc in PG(2,25) or 15-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(29) ⊂ Ce(25) [i] based on
- discarding factors / shortening the dual code based on linear OA(2588, 15640, F25, 30) (dual of [15640, 15552, 31]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2588, 10371, F25, 30) (dual of [10371, 10283, 31]-code), using
- discarding factors / shortening the dual code based on linear OOA(2588, 10371, F25, 2, 30) (dual of [(10371, 2), 20654, 31]-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.