Information on Result #1187044
Digital (103, 124, 6555)-net over F4, using net defined by OOA based on linear OOA(4124, 6555, F4, 21, 21) (dual of [(6555, 21), 137531, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(4124, 65551, F4, 21) (dual of [65551, 65427, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(4124, 65555, F4, 21) (dual of [65555, 65431, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(17) [i] based on
- linear OA(4121, 65536, F4, 21) (dual of [65536, 65415, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(4105, 65536, F4, 18) (dual of [65536, 65431, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(43, 19, F4, 2) (dual of [19, 16, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- construction X applied to Ce(20) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(4124, 65555, F4, 21) (dual of [65555, 65431, 22]-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 (104, 124, 6555)-net over F4 | [i] | t-Expansion | |
| 2 | Digital (104, 125, 6555)-net over F4 | [i] | Net Duplication | |
| 3 | Digital (103, 123, 6555)-net over F4 | [i] | m-Reduction | |