Information on Result #1737508
Digital (51, 78, 1222)-net over F25, using net defined by OOA based on linear OOA(2578, 1222, F25, 30, 27) (dual of [(1222, 30), 36582, 28]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(2578, 8555, F25, 2, 27) (dual of [(8555, 2), 17032, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2578, 8559, F25, 2, 27) (dual of [(8559, 2), 17040, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2578, 8559, F25, 27) (dual of [8559, 8481, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(2578, 15633, F25, 27) (dual of [15633, 15555, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(23) [i] based on
- linear OA(2576, 15625, F25, 27) (dual of [15625, 15549, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2570, 15625, F25, 24) (dual of [15625, 15555, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [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(26) ⊂ Ce(23) [i] based on
- discarding factors / shortening the dual code based on linear OA(2578, 15633, F25, 27) (dual of [15633, 15555, 28]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2578, 8559, F25, 27) (dual of [8559, 8481, 28]-code), using
- discarding factors / shortening the dual code based on linear OOA(2578, 8559, F25, 2, 27) (dual of [(8559, 2), 17040, 28]-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.