Information on Result #1746370
Digital (48, 73, 59049)-net over F81, using net defined by OOA based on linear OOA(8173, 59049, F81, 28, 25) (dual of [(59049, 28), 1653299, 26]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8173, 177148, F81, 4, 25) (dual of [(177148, 4), 708519, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(8173, 177148, F81, 3, 25) (dual of [(177148, 3), 531371, 26]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8173, 531444, F81, 25) (dual of [531444, 531371, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- linear OA(8173, 531441, F81, 25) (dual of [531441, 531368, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(8170, 531441, F81, 24) (dual of [531441, 531371, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(810, 3, F81, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- OOA 3-folding [i] based on linear OA(8173, 531444, F81, 25) (dual of [531444, 531371, 26]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(8173, 177148, F81, 3, 25) (dual of [(177148, 3), 531371, 26]-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.