Information on Result #705888
Linear OA(3250, 763, F3, 64) (dual of [763, 513, 65]-code), using construction XX applied to C1 = C([336,397]), C2 = C([334,391]), C3 = C1 + C2 = C([336,391]), and C∩ = C1 ∩ C2 = C([334,397]) based on
- 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 = {336,337,…,397}, and designed minimum distance d ≥ |I|+1 = 63 [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(3241, 728, F3, 64) (dual of [728, 487, 65]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {334,335,…,397}, and designed minimum distance d ≥ |I|+1 = 65 [i]
- linear OA(3214, 728, F3, 56) (dual of [728, 514, 57]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {336,337,…,391}, and designed minimum distance d ≥ |I|+1 = 57 [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(31, 7, F3, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(3250, 381, F3, 2, 64) (dual of [(381, 2), 512, 65]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3250, 254, F3, 3, 64) (dual of [(254, 3), 512, 65]-NRT-code) | [i] | ||