Information on Result #705678
Linear OA(3245, 798, F3, 57) (dual of [798, 553, 58]-code), using construction XX applied to C1 = C([343,392]), C2 = C([336,385]), C3 = C1 + C2 = C([343,385]), and C∩ = C1 ∩ C2 = C([336,392]) based on
- linear OA(3196, 728, F3, 50) (dual of [728, 532, 51]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {343,344,…,392}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(3196, 728, F3, 50) (dual of [728, 532, 51]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {336,337,…,385}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(3217, 728, F3, 57) (dual of [728, 511, 58]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {336,337,…,392}, and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(3169, 728, F3, 43) (dual of [728, 559, 44]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {343,344,…,385}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(314, 35, F3, 6) (dual of [35, 21, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(314, 53, F3, 6) (dual of [53, 39, 7]-code), using
- linear OA(314, 35, F3, 6) (dual of [35, 21, 7]-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(3245, 399, F3, 2, 57) (dual of [(399, 2), 553, 58]-NRT-code) | [i] | OOA Folding | |