Information on Result #1772224
Digital (220, 248, 398597)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3248, 398597, F3, 4, 28) (dual of [(398597, 4), 1594140, 29]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3248, 1594388, F3, 28) (dual of [1594388, 1594140, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(21) [i] based on
- linear OA(3235, 1594323, F3, 28) (dual of [1594323, 1594088, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3183, 1594323, F3, 22) (dual of [1594323, 1594140, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(313, 65, F3, 5) (dual of [65, 52, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(313, 80, F3, 5) (dual of [80, 67, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(313, 80, F3, 5) (dual of [80, 67, 6]-code), using
- construction X applied to Ce(27) ⊂ Ce(21) [i] based on
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 (221, 249, 398597)-net over F3 | [i] | Net Duplication | |