Information on Result #2267018
Linear OA(3230, 3290, F3, 44) (dual of [3290, 3060, 45]-code), using 1 times code embedding in larger space based on linear OA(3229, 3289, F3, 44) (dual of [3289, 3060, 45]-code), using
- construction X applied to Ce(43) ⊂ Ce(42) [i] based on
- linear OA(3229, 3281, F3, 44) (dual of [3281, 3052, 45]-code), using an extension Ce(43) of the narrow-sense BCH-code C(I) with length 3280 | 38−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(3221, 3281, F3, 43) (dual of [3281, 3060, 44]-code), using an extension Ce(42) of the narrow-sense BCH-code C(I) with length 3280 | 38−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(30, 8, F3, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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, 3258, F3, 2, 44) (dual of [(3258, 2), 6286, 45]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3230, 3258, F3, 3, 44) (dual of [(3258, 3), 9544, 45]-NRT-code) | [i] | ||
| 3 | Linear OOA(3230, 3258, F3, 4, 44) (dual of [(3258, 4), 12802, 45]-NRT-code) | [i] | ||
| 4 | Linear OOA(3230, 3258, F3, 5, 44) (dual of [(3258, 5), 16060, 45]-NRT-code) | [i] | ||
| 5 | Digital (186, 230, 3258)-net over F3 | [i] | ||
| 6 | Linear OOA(3230, 1645, F3, 2, 44) (dual of [(1645, 2), 3060, 45]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3230, 658, F3, 5, 44) (dual of [(658, 5), 3060, 45]-NRT-code) | [i] | ||