Information on Result #953637
Linear OOA(3237, 531467, F3, 3, 26) (dual of [(531467, 3), 1594164, 27]-NRT-code), using OOA 3-folding based on linear OA(3237, 1594401, F3, 26) (dual of [1594401, 1594164, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(3237, 1594403, F3, 26) (dual of [1594403, 1594166, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(18) [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(3157, 1594323, F3, 19) (dual of [1594323, 1594166, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(315, 80, F3, 6) (dual of [80, 65, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 85, F3, 6) (dual of [85, 70, 7]-code), using
- construction X applied to Ce(25) ⊂ Ce(18) [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(3237, 531467, F3, 4, 26) (dual of [(531467, 4), 2125631, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3237, 531467, F3, 5, 26) (dual of [(531467, 5), 2657098, 27]-NRT-code) | [i] | ||
| 3 | Digital (211, 237, 531467)-net over F3 | [i] | ||