Information on Result #698768
Linear OA(6432, 4101, F64, 16) (dual of [4101, 4069, 17]-code), using construction X applied to Ce(15) ⊂ Ce(13) based on
- 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(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(641, 5, F64, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-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 OA(864, 8202, F8, 16) (dual of [8202, 8138, 17]-code) | [i] | Trace Code | |
| 2 | OA(3239, 4101, S32, 16) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6441, 4181, F64, 16) (dual of [4181, 4140, 17]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OOA(6432, 2050, F64, 2, 16) (dual of [(2050, 2), 4068, 17]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(6432, 1367, F64, 3, 16) (dual of [(1367, 3), 4069, 17]-NRT-code) | [i] | ||