Information on Result #1061377
Linear OOA(3226, 398588, F3, 4, 26) (dual of [(398588, 4), 1594126, 27]-NRT-code), using OOA 4-folding based on linear OA(3226, 1594352, F3, 26) (dual of [1594352, 1594126, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(3226, 1594353, F3, 26) (dual of [1594353, 1594127, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(22) [i] based on
- linear OA(3222, 1594323, F3, 26) (dual of [1594323, 1594101, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3196, 1594323, F3, 23) (dual of [1594323, 1594127, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(34, 30, F3, 2) (dual of [30, 26, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(25) ⊂ Ce(22) [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3227, 398588, F3, 4, 26) (dual of [(398588, 4), 1594125, 27]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3226, 398588, F3, 5, 26) (dual of [(398588, 5), 1992714, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (200, 226, 398588)-net over F3 | [i] | ||