Information on Result #874501
Linear OOA(6451, 2049, F64, 2, 26) (dual of [(2049, 2), 4047, 27]-NRT-code), using OOA 2-folding based on linear OA(6451, 4098, F64, 26) (dual of [4098, 4047, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- linear OA(6451, 4096, F64, 26) (dual of [4096, 4045, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(6449, 4096, F64, 25) (dual of [4096, 4047, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(6464, 2114, F64, 2, 26) (dual of [(2114, 2), 4164, 27]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(6465, 2129, F64, 2, 26) (dual of [(2129, 2), 4193, 27]-NRT-code) | [i] | ||
| 3 | Linear OOA(6467, 2153, F64, 2, 26) (dual of [(2153, 2), 4239, 27]-NRT-code) | [i] | ||
| 4 | Linear OOA(6469, 2177, F64, 2, 26) (dual of [(2177, 2), 4285, 27]-NRT-code) | [i] | ||
| 5 | Linear OOA(6470, 2179, F64, 2, 26) (dual of [(2179, 2), 4288, 27]-NRT-code) | [i] | ||
| 6 | Linear OOA(6471, 2226, F64, 2, 26) (dual of [(2226, 2), 4381, 27]-NRT-code) | [i] | ||
| 7 | Linear OOA(6474, 2233, F64, 2, 26) (dual of [(2233, 2), 4392, 27]-NRT-code) | [i] | ||
| 8 | Linear OOA(6474, 2244, F64, 2, 26) (dual of [(2244, 2), 4414, 27]-NRT-code) | [i] | ||