Information on Result #1746446
Digital (55, 81, 70438)-net over F81, using net defined by OOA based on linear OOA(8181, 70438, F81, 36, 26) (dual of [(70438, 36), 2535687, 27]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(8181, 281753, F81, 4, 26) (dual of [(281753, 4), 1126931, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8181, 281755, F81, 4, 26) (dual of [(281755, 4), 1126939, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8181, 281755, F81, 26) (dual of [281755, 281674, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(8181, 531464, F81, 26) (dual of [531464, 531383, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(19) [i] based on
- linear OA(8176, 531441, F81, 26) (dual of [531441, 531365, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(8158, 531441, F81, 20) (dual of [531441, 531383, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(25) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(8181, 531464, F81, 26) (dual of [531464, 531383, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8181, 281755, F81, 26) (dual of [281755, 281674, 27]-code), using
- discarding factors / shortening the dual code based on linear OOA(8181, 281755, F81, 4, 26) (dual of [(281755, 4), 1126939, 27]-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.