Information on Result #874014
Linear OOA(6433, 2049, F64, 2, 17) (dual of [(2049, 2), 4065, 18]-NRT-code), using OOA 2-folding based on linear OA(6433, 4098, F64, 17) (dual of [4098, 4065, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(6433, 4096, F64, 17) (dual of [4096, 4063, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(6431, 4096, F64, 16) (dual of [4096, 4065, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(6441, 2114, F64, 2, 17) (dual of [(2114, 2), 4187, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(6442, 2129, F64, 2, 17) (dual of [(2129, 2), 4216, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(6444, 2153, F64, 2, 17) (dual of [(2153, 2), 4262, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(6445, 2179, F64, 2, 17) (dual of [(2179, 2), 4313, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(6446, 2194, F64, 2, 17) (dual of [(2194, 2), 4342, 18]-NRT-code) | [i] | ||