Information on Result #953060
Linear OOA(3194, 531462, F3, 3, 21) (dual of [(531462, 3), 1594192, 22]-NRT-code), using OOA 3-folding based on linear OA(3194, 1594386, F3, 21) (dual of [1594386, 1594192, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(3194, 1594387, F3, 21) (dual of [1594387, 1594193, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,7]) [i] based on
- linear OA(3183, 1594324, F3, 21) (dual of [1594324, 1594141, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(3131, 1594324, F3, 15) (dual of [1594324, 1594193, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(311, 63, F3, 5) (dual of [63, 52, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to C([0,10]) ⊂ C([0,7]) [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(3195, 531462, F3, 3, 21) (dual of [(531462, 3), 1594191, 22]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3194, 531462, F3, 4, 21) (dual of [(531462, 4), 2125654, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3194, 531462, F3, 5, 21) (dual of [(531462, 5), 2657116, 22]-NRT-code) | [i] | ||
| 4 | Digital (173, 194, 531462)-net over F3 | [i] | ||