Information on Result #698427
Linear OA(6467, 262147, F64, 23) (dual of [262147, 262080, 24]-code), using construction X applied to Ce(22) ⊂ Ce(21) based on
- linear OA(6467, 262144, F64, 23) (dual of [262144, 262077, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(6464, 262144, F64, 22) (dual of [262144, 262080, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(640, 3, F64, 0) (dual of [3, 3, 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 OA(8134, 524294, F8, 23) (dual of [524294, 524160, 24]-code) | [i] | Trace Code | |
| 2 | OA(16101, 262147, S16, 23) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(3281, 262147, S32, 23) | [i] | ||
| 4 | Linear OA(6478, 262212, F64, 23) (dual of [262212, 262134, 24]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(6479, 262227, F64, 23) (dual of [262227, 262148, 24]-code) | [i] | ||
| 6 | Linear OA(6480, 262229, F64, 23) (dual of [262229, 262149, 24]-code) | [i] | ||
| 7 | Linear OA(6481, 262251, F64, 23) (dual of [262251, 262170, 24]-code) | [i] | ||
| 8 | Linear OA(6482, 262253, F64, 23) (dual of [262253, 262171, 24]-code) | [i] | ||
| 9 | Linear OA(6483, 262277, F64, 23) (dual of [262277, 262194, 24]-code) | [i] | ||
| 10 | Linear OA(6484, 262292, F64, 23) (dual of [262292, 262208, 24]-code) | [i] | ||
| 11 | Linear OA(6485, 262344, F64, 23) (dual of [262344, 262259, 24]-code) | [i] | ||
| 12 | Linear OA(6486, 262464, F64, 23) (dual of [262464, 262378, 24]-code) | [i] | ||
| 13 | Linear OA(6487, 262734, F64, 23) (dual of [262734, 262647, 24]-code) | [i] | ||
| 14 | Linear OA(6488, 266245, F64, 23) (dual of [266245, 266157, 24]-code) | [i] | ||
| 15 | Linear OOA(6467, 131073, F64, 2, 23) (dual of [(131073, 2), 262079, 24]-NRT-code) | [i] | OOA Folding | |
| 16 | Linear OOA(6467, 87382, F64, 3, 23) (dual of [(87382, 3), 262079, 24]-NRT-code) | [i] | ||