Information on Result #990126
Linear OOA(6465, 1366, F64, 3, 33) (dual of [(1366, 3), 4033, 34]-NRT-code), using OOA 3-folding based on linear OA(6465, 4098, F64, 33) (dual of [4098, 4033, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(31) [i] based on
- linear OA(6465, 4096, F64, 33) (dual of [4096, 4031, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(6463, 4096, F64, 32) (dual of [4096, 4033, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-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(6481, 1431, F64, 3, 33) (dual of [(1431, 3), 4212, 34]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(6482, 1446, F64, 3, 33) (dual of [(1446, 3), 4256, 34]-NRT-code) | [i] | ||
| 3 | Linear OOA(6484, 1470, F64, 3, 33) (dual of [(1470, 3), 4326, 34]-NRT-code) | [i] | ||
| 4 | Linear OOA(6486, 1494, F64, 3, 33) (dual of [(1494, 3), 4396, 34]-NRT-code) | [i] | ||
| 5 | Linear OOA(6488, 1543, F64, 3, 33) (dual of [(1543, 3), 4541, 34]-NRT-code) | [i] | ||
| 6 | Digital (32, 65, 1333)-net over F64 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |