Information on Result #704527
Linear OA(3135, 780, F3, 30) (dual of [780, 645, 31]-code), using construction XX applied to C1 = C([346,371]), C2 = C([342,365]), C3 = C1 + C2 = C([346,365]), and C∩ = C1 ∩ C2 = C([342,371]) based on
- linear OA(3103, 728, F3, 26) (dual of [728, 625, 27]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {346,347,…,371}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(397, 728, F3, 24) (dual of [728, 631, 25]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {342,343,…,365}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3121, 728, F3, 30) (dual of [728, 607, 31]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {342,343,…,371}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(379, 728, F3, 20) (dual of [728, 649, 21]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {346,347,…,365}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- linear OA(36, 24, F3, 3) (dual of [24, 18, 4]-code or 24-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), 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(3135, 390, F3, 2, 30) (dual of [(390, 2), 645, 31]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3135, 260, F3, 3, 30) (dual of [(260, 3), 645, 31]-NRT-code) | [i] | ||