Information on Result #874735
Linear OOA(6459, 2049, F64, 2, 30) (dual of [(2049, 2), 4039, 31]-NRT-code), using OOA 2-folding based on linear OA(6459, 4098, F64, 30) (dual of [4098, 4039, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(28) [i] based on
- linear OA(6459, 4096, F64, 30) (dual of [4096, 4037, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(6457, 4096, F64, 29) (dual of [4096, 4039, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(6474, 2114, F64, 2, 30) (dual of [(2114, 2), 4154, 31]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(6475, 2129, F64, 2, 30) (dual of [(2129, 2), 4183, 31]-NRT-code) | [i] | ||
| 3 | Linear OOA(6477, 2153, F64, 2, 30) (dual of [(2153, 2), 4229, 31]-NRT-code) | [i] | ||
| 4 | Linear OOA(6479, 2177, F64, 2, 30) (dual of [(2177, 2), 4275, 31]-NRT-code) | [i] | ||
| 5 | Linear OOA(6481, 2226, F64, 2, 30) (dual of [(2226, 2), 4371, 31]-NRT-code) | [i] | ||
| 6 | Linear OOA(6485, 2233, F64, 2, 30) (dual of [(2233, 2), 4381, 31]-NRT-code) | [i] | ||