Information on Result #1208454
Digital (209, 226, 1195765)-net over F3, using (u, u+v)-construction based on
- digital (6, 14, 22)-net over F3, using
- digital (195, 212, 1195743)-net over F3, using
- net defined by OOA [i] based on linear OOA(3212, 1195743, F3, 18, 17) (dual of [(1195743, 18), 21523162, 18]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3212, 4782973, F3, 2, 17) (dual of [(4782973, 2), 9565734, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3212, 4782976, F3, 2, 17) (dual of [(4782976, 2), 9565740, 18]-NRT-code), using
- trace code [i] based on linear OOA(9106, 2391488, F9, 2, 17) (dual of [(2391488, 2), 4782870, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(9106, 4782976, F9, 17) (dual of [4782976, 4782870, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(9106, 4782969, F9, 17) (dual of [4782969, 4782863, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(999, 4782969, F9, 16) (dual of [4782969, 4782870, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(90, 7, F9, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- OOA 2-folding [i] based on linear OA(9106, 4782976, F9, 17) (dual of [4782976, 4782870, 18]-code), using
- trace code [i] based on linear OOA(9106, 2391488, F9, 2, 17) (dual of [(2391488, 2), 4782870, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3212, 4782976, F3, 2, 17) (dual of [(4782976, 2), 9565740, 18]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3212, 4782973, F3, 2, 17) (dual of [(4782973, 2), 9565734, 18]-NRT-code), using
- net defined by OOA [i] based on linear OOA(3212, 1195743, F3, 18, 17) (dual of [(1195743, 18), 21523162, 18]-NRT-code), using
Mode: Constructive and 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (210, 227, 1195765)-net over F3 | [i] | Net Duplication | |