Information on Result #698442
Linear OA(6437, 262147, F64, 13) (dual of [262147, 262110, 14]-code), using construction X applied to Ce(12) ⊂ Ce(11) based on
- linear OA(6437, 262144, F64, 13) (dual of [262144, 262107, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(6434, 262144, F64, 12) (dual of [262144, 262110, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(874, 524294, F8, 13) (dual of [524294, 524220, 14]-code) | [i] | Trace Code | |
| 2 | OA(1656, 262147, S16, 13) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(3245, 262147, S32, 13) | [i] | ||
| 4 | Linear OA(6443, 262212, F64, 13) (dual of [262212, 262169, 14]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(6444, 262227, F64, 13) (dual of [262227, 262183, 14]-code) | [i] | ||
| 6 | Linear OA(6445, 262229, F64, 13) (dual of [262229, 262184, 14]-code) | [i] | ||
| 7 | Linear OA(6446, 262277, F64, 13) (dual of [262277, 262231, 14]-code) | [i] | ||
| 8 | Linear OA(6447, 262464, F64, 13) (dual of [262464, 262417, 14]-code) | [i] | ||
| 9 | Linear OA(6448, 266245, F64, 13) (dual of [266245, 266197, 14]-code) | [i] | ||
| 10 | Linear OOA(6437, 131073, F64, 2, 13) (dual of [(131073, 2), 262109, 14]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(6437, 87382, F64, 3, 13) (dual of [(87382, 3), 262109, 14]-NRT-code) | [i] | ||
| 12 | Linear OOA(6437, 43691, F64, 13, 13) (dual of [(43691, 13), 567946, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |