Information on Result #705886
Linear OA(3250, 766, F3, 63) (dual of [766, 516, 64]-code), using construction XX applied to C1 = C([337,397]), C2 = C([334,391]), C3 = C1 + C2 = C([337,391]), and C∩ = C1 ∩ C2 = C([334,397]) based on
- linear OA(3232, 728, F3, 61) (dual of [728, 496, 62]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {337,338,…,397}, and designed minimum distance d ≥ |I|+1 = 62 [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(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(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, 10, F3, 1) (dual of [10, 9, 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, 383, F3, 2, 63) (dual of [(383, 2), 516, 64]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3250, 255, F3, 3, 63) (dual of [(255, 3), 515, 64]-NRT-code) | [i] | ||