Information on Result #3218321
Digital (206, 234, 299594)-net over F4, using t-expansion based on digital (205, 234, 299594)-net over F4, using
- net defined by OOA [i] based on linear OOA(4234, 299594, F4, 29, 29) (dual of [(299594, 29), 8687992, 30]-NRT-code), using
- OOA 14-folding and stacking with additional row [i] based on linear OA(4234, 4194317, F4, 29) (dual of [4194317, 4194083, 30]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4233, 4194316, F4, 29) (dual of [4194316, 4194083, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(26) [i] based on
- linear OA(4232, 4194304, F4, 29) (dual of [4194304, 4194072, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- 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(41, 12, F4, 1) (dual of [12, 11, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(28) ⊂ Ce(26) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4233, 4194316, F4, 29) (dual of [4194316, 4194083, 30]-code), using
- OOA 14-folding and stacking with additional row [i] based on linear OA(4234, 4194317, F4, 29) (dual of [4194317, 4194083, 30]-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 (207, 235, 299594)-net over F4 | [i] | Net Duplication | |