Information on Result #1188000
Digital (201, 240, 3451)-net over F4, using net defined by OOA based on linear OOA(4240, 3451, F4, 39, 39) (dual of [(3451, 39), 134349, 40]-NRT-code), using
- OOA 19-folding and stacking with additional row [i] based on linear OA(4240, 65570, F4, 39) (dual of [65570, 65330, 40]-code), using
- discarding factors / shortening the dual code based on linear OA(4240, 65575, F4, 39) (dual of [65575, 65335, 40]-code), using
- construction X applied to Ce(38) ⊂ Ce(33) [i] based on
- linear OA(4233, 65536, F4, 39) (dual of [65536, 65303, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(4201, 65536, F4, 34) (dual of [65536, 65335, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(47, 39, F4, 4) (dual of [39, 32, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(38) ⊂ Ce(33) [i] based on
- discarding factors / shortening the dual code based on linear OA(4240, 65575, F4, 39) (dual of [65575, 65335, 40]-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 (202, 241, 3451)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (203, 242, 3451)-net over F4 | [i] | ||
| 3 | Digital (204, 243, 3451)-net over F4 | [i] | ||
| 4 | Digital (205, 244, 3451)-net over F4 | [i] | ||
| 5 | Digital (206, 245, 3451)-net over F4 | [i] | ||