Information on Result #1187732
Digital (171, 201, 17477)-net over F4, using net defined by OOA based on linear OOA(4201, 17477, F4, 30, 30) (dual of [(17477, 30), 524109, 31]-NRT-code), using
- OA 15-folding and stacking [i] based on linear OA(4201, 262155, F4, 30) (dual of [262155, 261954, 31]-code), using
- 2 times code embedding in larger space [i] based on linear OA(4199, 262153, F4, 30) (dual of [262153, 261954, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(28) [i] based on
- linear OA(4199, 262144, F4, 30) (dual of [262144, 261945, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4190, 262144, F4, 29) (dual of [262144, 261954, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(40, 9, F4, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(29) ⊂ Ce(28) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(4199, 262153, F4, 30) (dual of [262153, 261954, 31]-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 (172, 202, 17477)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (173, 203, 17477)-net over F4 | [i] | ||