Information on Result #698434
Linear OA(6452, 262147, F64, 18) (dual of [262147, 262095, 19]-code), using construction X applied to Ce(17) ⊂ Ce(16) based on
- linear OA(6452, 262144, F64, 18) (dual of [262144, 262092, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(6449, 262144, F64, 17) (dual of [262144, 262095, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(8104, 524294, F8, 18) (dual of [524294, 524190, 19]-code) | [i] | Trace Code | |
| 2 | OA(1678, 262147, S16, 18) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(3263, 262147, S32, 18) | [i] | ||
| 4 | Linear OA(6461, 262212, F64, 18) (dual of [262212, 262151, 19]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(6462, 262227, F64, 18) (dual of [262227, 262165, 19]-code) | [i] | ||
| 6 | Linear OA(6463, 262229, F64, 18) (dual of [262229, 262166, 19]-code) | [i] | ||
| 7 | Linear OA(6464, 262251, F64, 18) (dual of [262251, 262187, 19]-code) | [i] | ||
| 8 | Linear OA(6465, 262277, F64, 18) (dual of [262277, 262212, 19]-code) | [i] | ||
| 9 | Linear OA(6466, 262292, F64, 18) (dual of [262292, 262226, 19]-code) | [i] | ||
| 10 | Linear OA(6467, 262346, F64, 18) (dual of [262346, 262279, 19]-code) | [i] | ||
| 11 | Linear OA(6468, 262604, F64, 18) (dual of [262604, 262536, 19]-code) | [i] | ||
| 12 | Linear OOA(6452, 131073, F64, 2, 18) (dual of [(131073, 2), 262094, 19]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(6452, 87382, F64, 3, 18) (dual of [(87382, 3), 262094, 19]-NRT-code) | [i] | ||