Information on Result #2266893
Linear OA(3230, 6606, F3, 41) (dual of [6606, 6376, 42]-code), using 2 times code embedding in larger space based on linear OA(3228, 6604, F3, 41) (dual of [6604, 6376, 42]-code), using
- construction X applied to Ce(40) ⊂ Ce(34) [i] based on
- linear OA(3217, 6561, F3, 41) (dual of [6561, 6344, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(3185, 6561, F3, 35) (dual of [6561, 6376, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(311, 43, F3, 5) (dual of [43, 32, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
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(3230, 4838, F3, 2, 41) (dual of [(4838, 2), 9446, 42]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3230, 4838, F3, 3, 41) (dual of [(4838, 3), 14284, 42]-NRT-code) | [i] | ||
| 3 | Linear OOA(3230, 4838, F3, 4, 41) (dual of [(4838, 4), 19122, 42]-NRT-code) | [i] | ||
| 4 | Linear OOA(3230, 4838, F3, 5, 41) (dual of [(4838, 5), 23960, 42]-NRT-code) | [i] | ||
| 5 | Digital (189, 230, 4838)-net over F3 | [i] | ||
| 6 | Linear OOA(3230, 2202, F3, 3, 41) (dual of [(2202, 3), 6376, 42]-NRT-code) | [i] | OOA Folding | |