Information on Result #953768
Linear OOA(3246, 531462, F3, 3, 27) (dual of [(531462, 3), 1594140, 28]-NRT-code), using OOA 3-folding based on linear OA(3246, 1594386, F3, 27) (dual of [1594386, 1594140, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(3246, 1594387, F3, 27) (dual of [1594387, 1594141, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([0,10]) [i] based on
- linear OA(3235, 1594324, F3, 27) (dual of [1594324, 1594089, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- 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(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([0,13]) ⊂ C([0,10]) [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(3247, 531462, F3, 3, 27) (dual of [(531462, 3), 1594139, 28]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3246, 517962, F3, 4, 27) (dual of [(517962, 4), 2071602, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3246, 517962, F3, 5, 27) (dual of [(517962, 5), 2589564, 28]-NRT-code) | [i] | ||
| 4 | Digital (219, 246, 517962)-net over F3 | [i] | ||