Information on Result #705680
Linear OA(3240, 788, F3, 57) (dual of [788, 548, 58]-code), using construction XX applied to C1 = C([342,392]), C2 = C([336,385]), C3 = C1 + C2 = C([342,385]), and C∩ = C1 ∩ C2 = C([336,392]) based on
- linear OA(3202, 728, F3, 51) (dual of [728, 526, 52]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {342,343,…,392}, and designed minimum distance d ≥ |I|+1 = 52 [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(3175, 728, F3, 44) (dual of [728, 553, 45]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {342,343,…,385}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(314, 36, F3, 6) (dual of [36, 22, 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(38, 24, F3, 5) (dual of [24, 16, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-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(3240, 394, F3, 2, 57) (dual of [(394, 2), 548, 58]-NRT-code) | [i] | OOA Folding | |