Information on Result #812758
Linear OOA(339, 371, F3, 2, 10) (dual of [(371, 2), 703, 11]-NRT-code), using OOA 2-folding based on linear OA(339, 742, F3, 10) (dual of [742, 703, 11]-code), using
- construction XX applied to C1 = C([360,367]), C2 = C([358,365]), C3 = C1 + C2 = C([360,365]), and C∩ = C1 ∩ C2 = C([358,367]) [i] based on
- linear OA(331, 728, F3, 8) (dual of [728, 697, 9]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {360,361,…,367}, and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(331, 728, F3, 8) (dual of [728, 697, 9]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {358,359,…,365}, and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(337, 728, F3, 10) (dual of [728, 691, 11]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {358,359,…,367}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(325, 728, F3, 6) (dual of [728, 703, 7]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {360,361,…,365}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- 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
- linear OA(31, 7, F3, 1) (dual of [7, 6, 2]-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(340, 371, F3, 2, 10) (dual of [(371, 2), 702, 11]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3235, 4194672, F3, 2, 20) (dual of [(4194672, 2), 8389109, 21]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(3249, 4194672, F3, 2, 21) (dual of [(4194672, 2), 8389095, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(339, 371, F3, 3, 10) (dual of [(371, 3), 1074, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Linear OOA(339, 371, F3, 4, 10) (dual of [(371, 4), 1445, 11]-NRT-code) | [i] | ||
| 6 | Linear OOA(339, 371, F3, 5, 10) (dual of [(371, 5), 1816, 11]-NRT-code) | [i] | ||
| 7 | Digital (29, 39, 371)-net over F3 | [i] | ||