Information on Result #1187410
Digital (177, 202, 349527)-net over F4, using net defined by OOA based on linear OOA(4202, 349527, F4, 25, 25) (dual of [(349527, 25), 8737973, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(4202, 4194325, F4, 25) (dual of [4194325, 4194123, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- linear OA(4199, 4194304, F4, 25) (dual of [4194304, 4194105, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(4177, 4194304, F4, 22) (dual of [4194304, 4194127, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(24) ⊂ Ce(21) [i] based on
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 (178, 202, 349527)-net over F4 | [i] | t-Expansion | |
| 2 | Digital (178, 203, 349527)-net over F4 | [i] | Net Duplication | |
| 3 | Digital (177, 201, 349527)-net over F4 | [i] | m-Reduction | |