Information on Result #1205140
Digital (203, 220, 1195750)-net over F3, using trace code for nets based on digital (93, 110, 597875)-net over F9, using
- net defined by OOA [i] based on linear OOA(9110, 597875, F9, 17, 17) (dual of [(597875, 17), 10163765, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(9110, 4783001, F9, 17) (dual of [4783001, 4782891, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(12) [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(978, 4782969, F9, 13) (dual of [4782969, 4782891, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(94, 32, F9, 3) (dual of [32, 28, 4]-code or 32-cap in PG(3,9)), using
- construction X applied to Ce(16) ⊂ Ce(12) [i] based on
- OOA 8-folding and stacking with additional row [i] based on linear OA(9110, 4783001, F9, 17) (dual of [4783001, 4782891, 18]-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 (204, 221, 1195750)-net over F3 | [i] | Net Duplication | |