Information on Result #618771
Linear OA(6440, 262144, F64, 14) (dual of [262144, 262104, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14
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(880, 524288, F8, 14) (dual of [524288, 524208, 15]-code) | [i] | Trace Code | |
| 2 | Linear OA(6447, 262209, F64, 14) (dual of [262209, 262162, 15]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(6448, 262224, F64, 14) (dual of [262224, 262176, 15]-code) | [i] | ||
| 4 | Linear OA(6449, 262226, F64, 14) (dual of [262226, 262177, 15]-code) | [i] | ||
| 5 | Linear OA(6450, 262272, F64, 14) (dual of [262272, 262222, 15]-code) | [i] | ||
| 6 | Linear OA(6451, 262339, F64, 14) (dual of [262339, 262288, 15]-code) | [i] | ||
| 7 | Linear OA(6452, 262460, F64, 14) (dual of [262460, 262408, 15]-code) | [i] | ||
| 8 | Linear OA(6450, 262274, F64, 14) (dual of [262274, 262224, 15]-code) | [i] | ||
| 9 | Linear OA(6451, 262156, F64, 14) (dual of [262156, 262105, 15]-code) | [i] | Generalized (u, u+v)-Construction | |
| 10 | Linear OA(6452, 262159, F64, 14) (dual of [262159, 262107, 15]-code) | [i] | ||
| 11 | Linear OA(6449, 262154, F64, 14) (dual of [262154, 262105, 15]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 12 | Linear OA(6450, 262156, F64, 14) (dual of [262156, 262106, 15]-code) | [i] | ||
| 13 | Linear OA(6451, 262274, F64, 14) (dual of [262274, 262223, 15]-code) | [i] | ||
| 14 | Linear OA(6452, 262289, F64, 14) (dual of [262289, 262237, 15]-code) | [i] | ||
| 15 | Linear OA(6443, 262147, F64, 15) (dual of [262147, 262104, 16]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 16 | Linear OA(6440, 262147, F64, 14) (dual of [262147, 262107, 15]-code) | [i] | ✔ | |
| 17 | Linear OA(6447, 262151, F64, 16) (dual of [262151, 262104, 17]-code) | [i] | ✔ | |
| 18 | Linear OA(6441, 262151, F64, 14) (dual of [262151, 262110, 15]-code) | [i] | ✔ | |
| 19 | Linear OA(6451, 262155, F64, 17) (dual of [262155, 262104, 18]-code) | [i] | ✔ | |
| 20 | Linear OA(6442, 262155, F64, 14) (dual of [262155, 262113, 15]-code) | [i] | ✔ | |
| 21 | Linear OA(6455, 262159, F64, 18) (dual of [262159, 262104, 19]-code) | [i] | ✔ | |
| 22 | Linear OA(6443, 262159, F64, 14) (dual of [262159, 262116, 15]-code) | [i] | ✔ | |
| 23 | Linear OA(6459, 262163, F64, 19) (dual of [262163, 262104, 20]-code) | [i] | ✔ | |
| 24 | Linear OA(6444, 262163, F64, 14) (dual of [262163, 262119, 15]-code) | [i] | ✔ | |
| 25 | Linear OA(6463, 262167, F64, 20) (dual of [262167, 262104, 21]-code) | [i] | ✔ | |
| 26 | Linear OA(6445, 262167, F64, 14) (dual of [262167, 262122, 15]-code) | [i] | ✔ | |
| 27 | Linear OA(6467, 262171, F64, 21) (dual of [262171, 262104, 22]-code) | [i] | ✔ | |
| 28 | Linear OA(6446, 262171, F64, 14) (dual of [262171, 262125, 15]-code) | [i] | ✔ | |
| 29 | Linear OA(6471, 262175, F64, 22) (dual of [262175, 262104, 23]-code) | [i] | ✔ | |
| 30 | Linear OA(6475, 262179, F64, 23) (dual of [262179, 262104, 24]-code) | [i] | ✔ | |
| 31 | Linear OA(6479, 262183, F64, 24) (dual of [262183, 262104, 25]-code) | [i] | ✔ | |
| 32 | Linear OA(6483, 262187, F64, 25) (dual of [262187, 262104, 26]-code) | [i] | ✔ | |
| 33 | Linear OA(6487, 262191, F64, 26) (dual of [262191, 262104, 27]-code) | [i] | ✔ | |
| 34 | Linear OA(6491, 262195, F64, 27) (dual of [262195, 262104, 28]-code) | [i] | ✔ | |
| 35 | Linear OOA(6440, 37449, F64, 14, 14) (dual of [(37449, 14), 524246, 15]-NRT-code) | [i] | OA Folding and Stacking | |