Information on Result #1205066
Digital (117, 128, 1913190)-net over F3, using trace code for nets based on digital (53, 64, 956595)-net over F9, using
- net defined by OOA [i] based on linear OOA(964, 956595, F9, 11, 11) (dual of [(956595, 11), 10522481, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(964, 4782976, F9, 11) (dual of [4782976, 4782912, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(964, 4782969, F9, 11) (dual of [4782969, 4782905, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(957, 4782969, F9, 10) (dual of [4782969, 4782912, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(10) ⊂ Ce(9) [i] based on
- OOA 5-folding and stacking with additional row [i] based on linear OA(964, 4782976, F9, 11) (dual of [4782976, 4782912, 12]-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 (118, 129, 1913190)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (119, 130, 1913190)-net over F3 | [i] | ||
| 3 | Digital (120, 131, 1913190)-net over F3 | [i] | ||
| 4 | Digital (121, 132, 1913190)-net over F3 | [i] | ||
| 5 | Digital (122, 133, 1913194)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 6 | Digital (123, 134, 1913197)-net over F3 | [i] | ||
| 7 | Digital (124, 135, 1913201)-net over F3 | [i] | ||
| 8 | Digital (125, 136, 1913208)-net over F3 | [i] | ||
| 9 | Digital (126, 137, 1913218)-net over F3 | [i] | ||
| 10 | Digital (127, 138, 1913228)-net over F3 | [i] | ||
| 11 | Digital (128, 139, 1913267)-net over F3 | [i] | ||
| 12 | Digital (129, 140, 1913285)-net over F3 | [i] | ||
| 13 | Digital (130, 141, 1913293)-net over F3 | [i] | ||
| 14 | Linear OOA(3128, 1913190, F3, 5, 11) (dual of [(1913190, 5), 9565822, 12]-NRT-code) | [i] | Extracting Embedded OOA | |