Information on Result #1187568
Digital (201, 228, 322642)-net over F4, using net defined by OOA based on linear OOA(4228, 322642, F4, 27, 27) (dual of [(322642, 27), 8711106, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(4228, 4194347, F4, 27) (dual of [4194347, 4194119, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(21) [i] based on
- linear OA(4221, 4194304, F4, 27) (dual of [4194304, 4194083, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [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(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(26) ⊂ 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 (202, 229, 322642)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (203, 230, 322642)-net over F4 | [i] | ||