Information on Result #1782084
Digital (200, 226, 2097193)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4226, 2097193, F4, 2, 26) (dual of [(2097193, 2), 4194160, 27]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4226, 4194386, F4, 26) (dual of [4194386, 4194160, 27]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4225, 4194385, F4, 26) (dual of [4194385, 4194160, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(17) [i] based on
- linear OA(4210, 4194304, F4, 26) (dual of [4194304, 4194094, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(4144, 4194304, F4, 18) (dual of [4194304, 4194160, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(415, 81, F4, 7) (dual of [81, 66, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(415, 85, F4, 7) (dual of [85, 70, 8]-code), using
- construction X applied to Ce(25) ⊂ Ce(17) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4225, 4194385, F4, 26) (dual of [4194385, 4194160, 27]-code), using
Mode: 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 (201, 227, 2097193)-net over F4 | [i] | Net Duplication | |