Information on Result #1187570
Digital (204, 231, 322643)-net over F4, using net defined by OOA based on linear OOA(4231, 322643, F4, 27, 27) (dual of [(322643, 27), 8711130, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(4231, 4194360, F4, 27) (dual of [4194360, 4194129, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(4231, 4194368, F4, 27) (dual of [4194368, 4194137, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(20) [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(4166, 4194304, F4, 21) (dual of [4194304, 4194138, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(410, 64, F4, 5) (dual of [64, 54, 6]-code), using
- an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- construction X applied to Ce(26) ⊂ Ce(20) [i] based on
- discarding factors / shortening the dual code based on linear OA(4231, 4194368, F4, 27) (dual of [4194368, 4194137, 28]-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 (205, 232, 322643)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (206, 233, 322643)-net over F4 | [i] | ||