Information on Result #1100910
Linear OOA(3109, 318870, F3, 5, 13) (dual of [(318870, 5), 1594241, 14]-NRT-code), using OOA 5-folding based on linear OA(3109, 1594350, F3, 13) (dual of [1594350, 1594241, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(3109, 1594353, F3, 13) (dual of [1594353, 1594244, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- linear OA(3105, 1594323, F3, 13) (dual of [1594323, 1594218, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(379, 1594323, F3, 10) (dual of [1594323, 1594244, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(12) ⊂ Ce(9) [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(3109, 318870, F3, 5, 12) (dual of [(318870, 5), 1594241, 13]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3110, 318870, F3, 5, 13) (dual of [(318870, 5), 1594240, 14]-NRT-code) | [i] | OOA Duplication | |