Information on Result #718615
Linear OA(918, 370, F9, 7) (dual of [370, 352, 8]-code), using construction XX applied to C1 = C([41,46]), C2 = C([40,45]), C3 = C1 + C2 = C([41,45]), and C∩ = C1 ∩ C2 = C([40,46]) based on
- linear OA(915, 364, F9, 6) (dual of [364, 349, 7]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {41,42,…,46}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(915, 364, F9, 6) (dual of [364, 349, 7]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {40,41,…,45}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(918, 364, F9, 7) (dual of [364, 346, 8]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {40,41,…,46}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(912, 364, F9, 5) (dual of [364, 352, 6]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {41,42,43,44,45}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(90, 3, F9, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(90, 3, F9, 0) (dual of [3, 3, 1]-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(918, 370, F9, 2, 7) (dual of [(370, 2), 722, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(918, 370, F9, 3, 7) (dual of [(370, 3), 1092, 8]-NRT-code) | [i] | ||
| 3 | Digital (11, 18, 370)-net over F9 | [i] | ||
| 4 | Linear OOA(918, 185, F9, 2, 7) (dual of [(185, 2), 352, 8]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(918, 123, F9, 3, 7) (dual of [(123, 3), 351, 8]-NRT-code) | [i] | ||