Information on Result #1745862
Digital (40, 58, 177155)-net over F81, using net defined by OOA based on linear OOA(8158, 177155, F81, 21, 18) (dual of [(177155, 21), 3720197, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8158, 531466, F81, 3, 18) (dual of [(531466, 3), 1594340, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8158, 531468, F81, 3, 18) (dual of [(531468, 3), 1594346, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8158, 531468, F81, 18) (dual of [531468, 531410, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(10) [i] based on
- 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(8131, 531441, F81, 11) (dual of [531441, 531410, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(17) ⊂ Ce(10) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8158, 531468, F81, 18) (dual of [531468, 531410, 19]-code), using
- discarding factors / shortening the dual code based on linear OOA(8158, 531468, F81, 3, 18) (dual of [(531468, 3), 1594346, 19]-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.