Information on Result #1186318
Digital (88, 101, 699052)-net over F4, using net defined by OOA based on linear OOA(4101, 699052, F4, 13, 13) (dual of [(699052, 13), 9087575, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(4101, 4194313, F4, 13) (dual of [4194313, 4194212, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(4101, 4194316, F4, 13) (dual of [4194316, 4194215, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
- linear OA(4100, 4194304, F4, 13) (dual of [4194304, 4194204, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(489, 4194304, F4, 11) (dual of [4194304, 4194215, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(41, 12, F4, 1) (dual of [12, 11, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(4101, 4194316, F4, 13) (dual of [4194316, 4194215, 14]-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 (89, 102, 699052)-net over F4 | [i] | Net Duplication | |