Information on Result #1061371
Linear OOA(3209, 132867, F3, 4, 26) (dual of [(132867, 4), 531259, 27]-NRT-code), using OOA 4-folding based on linear OA(3209, 531468, F3, 26) (dual of [531468, 531259, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(3209, 531469, F3, 26) (dual of [531469, 531260, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(22) [i] based on
- linear OA(3205, 531441, F3, 26) (dual of [531441, 531236, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3181, 531441, F3, 23) (dual of [531441, 531260, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(34, 28, F3, 2) (dual of [28, 24, 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(3210, 132867, F3, 4, 26) (dual of [(132867, 4), 531258, 27]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3209, 132867, F3, 5, 26) (dual of [(132867, 5), 664126, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (183, 209, 132867)-net over F3 | [i] | ||