Information on Result #1196116
Digital (31, 41, 78129)-net over F25, using net defined by OOA based on linear OOA(2541, 78129, F25, 10, 10) (dual of [(78129, 10), 781249, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(2541, 390645, F25, 10) (dual of [390645, 390604, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(2541, 390649, F25, 10) (dual of [390649, 390608, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(4) [i] based on
- linear OA(2537, 390625, F25, 10) (dual of [390625, 390588, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(2517, 390625, F25, 5) (dual of [390625, 390608, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(254, 24, F25, 4) (dual of [24, 20, 5]-code or 24-arc in PG(3,25)), using
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using
- Reed–Solomon code RS(21,25) [i]
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using
- construction X applied to Ce(9) ⊂ Ce(4) [i] based on
- discarding factors / shortening the dual code based on linear OA(2541, 390649, F25, 10) (dual of [390649, 390608, 11]-code), using
Mode: Constructive and 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.