Information on Result #873937
Linear OOA(6429, 2049, F64, 2, 15) (dual of [(2049, 2), 4069, 16]-NRT-code), using OOA 2-folding based on linear OA(6429, 4098, F64, 15) (dual of [4098, 4069, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(6429, 4096, F64, 15) (dual of [4096, 4067, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(6427, 4096, F64, 14) (dual of [4096, 4069, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(6436, 2114, F64, 2, 15) (dual of [(2114, 2), 4192, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(6437, 2129, F64, 2, 15) (dual of [(2129, 2), 4221, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(6439, 2179, F64, 2, 15) (dual of [(2179, 2), 4319, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(6440, 2194, F64, 2, 15) (dual of [(2194, 2), 4348, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(6441, 2209, F64, 2, 15) (dual of [(2209, 2), 4377, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(6441, 2244, F64, 2, 15) (dual of [(2244, 2), 4447, 16]-NRT-code) | [i] | ||