Information on Result #2267642
Linear OA(3236, 753, F3, 61) (dual of [753, 517, 62]-code), using 1 times code embedding in larger space based on linear OA(3235, 752, F3, 61) (dual of [752, 517, 62]-code), using
- construction XX applied to C1 = C([337,394]), C2 = C([334,391]), C3 = C1 + C2 = C([337,391]), and C∩ = C1 ∩ C2 = C([334,394]) [i] based on
- 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 = {337,338,…,394}, and designed minimum distance d ≥ |I|+1 = 59 [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(3229, 728, F3, 61) (dual of [728, 499, 62]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {334,335,…,394}, and designed minimum distance d ≥ |I|+1 = 62 [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(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
- linear OA(33, 12, F3, 2) (dual of [12, 9, 3]-code) (see above)
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(3236, 251, F3, 3, 61) (dual of [(251, 3), 517, 62]-NRT-code) | [i] | OOA Folding | |