Information on Result #1187862
Digital (187, 220, 16385)-net over F4, using net defined by OOA based on linear OOA(4220, 16385, F4, 33, 33) (dual of [(16385, 33), 540485, 34]-NRT-code), using
- OOA 16-folding and stacking with additional row [i] based on linear OA(4220, 262161, F4, 33) (dual of [262161, 261941, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(4220, 262165, F4, 33) (dual of [262165, 261945, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(29) [i] based on
- linear OA(4217, 262144, F4, 33) (dual of [262144, 261927, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- 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(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- construction X applied to Ce(32) ⊂ Ce(29) [i] based on
- discarding factors / shortening the dual code based on linear OA(4220, 262165, F4, 33) (dual of [262165, 261945, 34]-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 (188, 220, 16385)-net over F4 | [i] | t-Expansion | |
| 2 | Digital (188, 221, 16385)-net over F4 | [i] | Net Duplication | |
| 3 | Digital (189, 222, 16385)-net over F4 | [i] | ||
| 4 | Digital (187, 219, 16385)-net over F4 | [i] | m-Reduction | |