Information on Result #1736772
Digital (56, 75, 72761)-net over F25, using net defined by OOA based on linear OOA(2575, 72761, F25, 22, 19) (dual of [(72761, 22), 1600667, 20]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(2575, 363806, F25, 2, 19) (dual of [(363806, 2), 727537, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2575, 363810, F25, 2, 19) (dual of [(363810, 2), 727545, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2575, 363810, F25, 19) (dual of [363810, 363735, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2575, 390639, F25, 19) (dual of [390639, 390564, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(15) [i] based on
- linear OA(2573, 390625, F25, 19) (dual of [390625, 390552, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(2561, 390625, F25, 16) (dual of [390625, 390564, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(252, 14, F25, 2) (dual of [14, 12, 3]-code or 14-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(18) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(2575, 390639, F25, 19) (dual of [390639, 390564, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2575, 363810, F25, 19) (dual of [363810, 363735, 20]-code), using
- discarding factors / shortening the dual code based on linear OOA(2575, 363810, F25, 2, 19) (dual of [(363810, 2), 727545, 20]-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.