Information on Result #1804334
Digital (34, 65, 578)-net over F25, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(2565, 578, F25, 31) (dual of [578, 513, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(2565, 645, F25, 31) (dual of [645, 580, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(22) [i] based on
- linear OA(2558, 625, F25, 31) (dual of [625, 567, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(2545, 625, F25, 23) (dual of [625, 580, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(257, 20, F25, 7) (dual of [20, 13, 8]-code or 20-arc in PG(6,25)), using
- discarding factors / shortening the dual code based on linear OA(257, 25, F25, 7) (dual of [25, 18, 8]-code or 25-arc in PG(6,25)), using
- Reed–Solomon code RS(18,25) [i]
- discarding factors / shortening the dual code based on linear OA(257, 25, F25, 7) (dual of [25, 18, 8]-code or 25-arc in PG(6,25)), using
- construction X applied to Ce(30) ⊂ Ce(22) [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.