Information on Result #1728686
Digital (70, 94, 2048)-net over F8, using net defined by OOA based on linear OOA(894, 2048, F8, 27, 24) (dual of [(2048, 27), 55202, 25]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(894, 8193, F8, 3, 24) (dual of [(8193, 3), 24485, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(894, 8196, F8, 3, 24) (dual of [(8196, 3), 24494, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(894, 8196, F8, 24) (dual of [8196, 8102, 25]-code), using
- trace code [i] based on linear OA(6447, 4098, F64, 24) (dual of [4098, 4051, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(6447, 4096, F64, 24) (dual of [4096, 4049, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(6445, 4096, F64, 23) (dual of [4096, 4051, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- trace code [i] based on linear OA(6447, 4098, F64, 24) (dual of [4098, 4051, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(894, 8196, F8, 24) (dual of [8196, 8102, 25]-code), using
- discarding factors / shortening the dual code based on linear OOA(894, 8196, F8, 3, 24) (dual of [(8196, 3), 24494, 25]-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.