Information on Result #1803726
Digital (14, 27, 407)-net over F25, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(2527, 407, F25, 13) (dual of [407, 380, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2527, 633, F25, 13) (dual of [633, 606, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- linear OA(2525, 625, F25, 13) (dual of [625, 600, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(2519, 625, F25, 10) (dual of [625, 606, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(252, 8, F25, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,25)), using
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), using
- Reed–Solomon code RS(23,25) [i]
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
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.