Information on Result #1746308
Digital (51, 75, 99100)-net over F81, using net defined by OOA based on linear OOA(8175, 99100, F81, 28, 24) (dual of [(99100, 28), 2774725, 25]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8175, 297301, F81, 4, 24) (dual of [(297301, 4), 1189129, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8175, 297302, F81, 4, 24) (dual of [(297302, 4), 1189133, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8175, 297302, F81, 24) (dual of [297302, 297227, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(8175, 531464, F81, 24) (dual of [531464, 531389, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(17) [i] based on
- 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(8152, 531441, F81, 18) (dual of [531441, 531389, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(815, 23, F81, 5) (dual of [23, 18, 6]-code or 23-arc in PG(4,81)), using
- discarding factors / shortening the dual code based on linear OA(815, 81, F81, 5) (dual of [81, 76, 6]-code or 81-arc in PG(4,81)), using
- Reed–Solomon code RS(76,81) [i]
- discarding factors / shortening the dual code based on linear OA(815, 81, F81, 5) (dual of [81, 76, 6]-code or 81-arc in PG(4,81)), using
- construction X applied to Ce(23) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(8175, 531464, F81, 24) (dual of [531464, 531389, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8175, 297302, F81, 24) (dual of [297302, 297227, 25]-code), using
- discarding factors / shortening the dual code based on linear OOA(8175, 297302, F81, 4, 24) (dual of [(297302, 4), 1189133, 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.