Information on Result #1746448
Digital (56, 82, 84593)-net over F81, using net defined by OOA based on linear OOA(8182, 84593, F81, 36, 26) (dual of [(84593, 36), 3045266, 27]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(8182, 338373, F81, 4, 26) (dual of [(338373, 4), 1353410, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8182, 338373, F81, 26) (dual of [338373, 338291, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(8182, 531468, F81, 26) (dual of [531468, 531386, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(18) [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(8155, 531441, F81, 19) (dual of [531441, 531386, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(816, 27, F81, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,81)), using
- discarding factors / shortening the dual code based on linear OA(816, 81, F81, 6) (dual of [81, 75, 7]-code or 81-arc in PG(5,81)), using
- Reed–Solomon code RS(75,81) [i]
- discarding factors / shortening the dual code based on linear OA(816, 81, F81, 6) (dual of [81, 75, 7]-code or 81-arc in PG(5,81)), using
- construction X applied to Ce(25) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(8182, 531468, F81, 26) (dual of [531468, 531386, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8182, 338373, F81, 26) (dual of [338373, 338291, 27]-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.