Information on Result #1804481
Digital (37, 71, 594)-net over F25, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(2571, 594, F25, 34) (dual of [594, 523, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(2571, 647, F25, 34) (dual of [647, 576, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(25) [i] based on
- linear OA(2564, 625, F25, 34) (dual of [625, 561, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(2549, 625, F25, 26) (dual of [625, 576, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(257, 22, F25, 7) (dual of [22, 15, 8]-code or 22-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(33) ⊂ Ce(25) [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.