Information on Result #818871
Linear OOA(3243, 380, F3, 2, 62) (dual of [(380, 2), 517, 63]-NRT-code), using OOA 2-folding based on linear OA(3243, 760, F3, 62) (dual of [760, 517, 63]-code), using
- construction XX applied to C1 = C([337,395]), C2 = C([334,391]), C3 = C1 + C2 = C([337,391]), and C∩ = C1 ∩ C2 = C([334,395]) [i] based on
- linear OA(3226, 728, F3, 59) (dual of [728, 502, 60]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {337,338,…,395}, and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(3220, 728, F3, 58) (dual of [728, 508, 59]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {334,335,…,391}, and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(3235, 728, F3, 62) (dual of [728, 493, 63]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {334,335,…,395}, and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(3211, 728, F3, 55) (dual of [728, 517, 56]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {337,338,…,391}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(35, 20, F3, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,3)), using
- linear OA(33, 12, F3, 2) (dual of [12, 9, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- discarding factors / shortening the dual code based on linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-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(3245, 381, F3, 2, 62) (dual of [(381, 2), 517, 63]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3244, 380, F3, 2, 62) (dual of [(380, 2), 516, 63]-NRT-code) | [i] | OOA Duplication | |