Information on Result #990082
Linear OOA(6463, 1366, F64, 3, 32) (dual of [(1366, 3), 4035, 33]-NRT-code), using OOA 3-folding based on linear OA(6463, 4098, F64, 32) (dual of [4098, 4035, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(30) [i] based on
- 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(6461, 4096, F64, 31) (dual of [4096, 4035, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(6479, 1431, F64, 3, 32) (dual of [(1431, 3), 4214, 33]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(6480, 1446, F64, 3, 32) (dual of [(1446, 3), 4258, 33]-NRT-code) | [i] | ||
| 3 | Linear OOA(6482, 1470, F64, 3, 32) (dual of [(1470, 3), 4328, 33]-NRT-code) | [i] | ||
| 4 | Linear OOA(6484, 1494, F64, 3, 32) (dual of [(1494, 3), 4398, 33]-NRT-code) | [i] | ||
| 5 | Linear OOA(6486, 1543, F64, 3, 32) (dual of [(1543, 3), 4543, 33]-NRT-code) | [i] | ||
| 6 | Linear OOA(6491, 1550, F64, 3, 32) (dual of [(1550, 3), 4559, 33]-NRT-code) | [i] | ||
| 7 | Digital (31, 63, 1317)-net over F64 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |