Information on Result #874259
Linear OOA(6443, 2049, F64, 2, 22) (dual of [(2049, 2), 4055, 23]-NRT-code), using OOA 2-folding based on linear OA(6443, 4098, F64, 22) (dual of [4098, 4055, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(6443, 4096, F64, 22) (dual of [4096, 4053, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(6441, 4096, F64, 21) (dual of [4096, 4055, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(6454, 2114, F64, 2, 22) (dual of [(2114, 2), 4174, 23]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(6455, 2129, F64, 2, 22) (dual of [(2129, 2), 4203, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(6457, 2153, F64, 2, 22) (dual of [(2153, 2), 4249, 23]-NRT-code) | [i] | ||
| 4 | Linear OOA(6459, 2179, F64, 2, 22) (dual of [(2179, 2), 4299, 23]-NRT-code) | [i] | ||
| 5 | Linear OOA(6460, 2194, F64, 2, 22) (dual of [(2194, 2), 4328, 23]-NRT-code) | [i] | ||
| 6 | Linear OOA(6461, 2226, F64, 2, 22) (dual of [(2226, 2), 4391, 23]-NRT-code) | [i] | ||
| 7 | Linear OOA(6462, 2244, F64, 2, 22) (dual of [(2244, 2), 4426, 23]-NRT-code) | [i] | ||