Information on Result #618806
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
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, 524288, F8, 18) (dual of [524288, 524184, 19]-code) | [i] | Trace Code | |
| 2 | Linear OA(6461, 262209, F64, 18) (dual of [262209, 262148, 19]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(6462, 262224, F64, 18) (dual of [262224, 262162, 19]-code) | [i] | ||
| 4 | Linear OA(6463, 262226, F64, 18) (dual of [262226, 262163, 19]-code) | [i] | ||
| 5 | Linear OA(6464, 262248, F64, 18) (dual of [262248, 262184, 19]-code) | [i] | ||
| 6 | Linear OA(6465, 262272, F64, 18) (dual of [262272, 262207, 19]-code) | [i] | ||
| 7 | Linear OA(6467, 262339, F64, 18) (dual of [262339, 262272, 19]-code) | [i] | ||
| 8 | Linear OA(6468, 262599, F64, 18) (dual of [262599, 262531, 19]-code) | [i] | ||
| 9 | Linear OA(6465, 262274, F64, 18) (dual of [262274, 262209, 19]-code) | [i] | ||
| 10 | Linear OA(6466, 262289, F64, 18) (dual of [262289, 262223, 19]-code) | [i] | ||
| 11 | Linear OA(6467, 262160, F64, 18) (dual of [262160, 262093, 19]-code) | [i] | Generalized (u, u+v)-Construction | |
| 12 | Linear OA(6466, 262159, F64, 18) (dual of [262159, 262093, 19]-code) | [i] | ||
| 13 | Linear OA(6468, 262162, F64, 18) (dual of [262162, 262094, 19]-code) | [i] | ||
| 14 | Linear OA(6465, 262158, F64, 18) (dual of [262158, 262093, 19]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 15 | Linear OA(6466, 262160, F64, 18) (dual of [262160, 262094, 19]-code) | [i] | ||
| 16 | Linear OA(6467, 262274, F64, 18) (dual of [262274, 262207, 19]-code) | [i] | ||
| 17 | Linear OA(6468, 262289, F64, 18) (dual of [262289, 262221, 19]-code) | [i] | ||
| 18 | Linear OA(6455, 262147, F64, 19) (dual of [262147, 262092, 20]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 19 | Linear OA(6452, 262147, F64, 18) (dual of [262147, 262095, 19]-code) | [i] | ✔ | |
| 20 | Linear OA(6459, 262151, F64, 20) (dual of [262151, 262092, 21]-code) | [i] | ✔ | |
| 21 | Linear OA(6453, 262151, F64, 18) (dual of [262151, 262098, 19]-code) | [i] | ✔ | |
| 22 | Linear OA(6463, 262155, F64, 21) (dual of [262155, 262092, 22]-code) | [i] | ✔ | |
| 23 | Linear OA(6454, 262155, F64, 18) (dual of [262155, 262101, 19]-code) | [i] | ✔ | |
| 24 | Linear OA(6467, 262159, F64, 22) (dual of [262159, 262092, 23]-code) | [i] | ✔ | |
| 25 | Linear OA(6455, 262159, F64, 18) (dual of [262159, 262104, 19]-code) | [i] | ✔ | |
| 26 | Linear OA(6471, 262163, F64, 23) (dual of [262163, 262092, 24]-code) | [i] | ✔ | |
| 27 | Linear OA(6456, 262163, F64, 18) (dual of [262163, 262107, 19]-code) | [i] | ✔ | |
| 28 | Linear OA(6475, 262167, F64, 24) (dual of [262167, 262092, 25]-code) | [i] | ✔ | |
| 29 | Linear OA(6457, 262167, F64, 18) (dual of [262167, 262110, 19]-code) | [i] | ✔ | |
| 30 | Linear OA(6479, 262171, F64, 25) (dual of [262171, 262092, 26]-code) | [i] | ✔ | |
| 31 | Linear OA(6458, 262171, F64, 18) (dual of [262171, 262113, 19]-code) | [i] | ✔ | |
| 32 | Linear OA(6483, 262175, F64, 26) (dual of [262175, 262092, 27]-code) | [i] | ✔ | |
| 33 | Linear OA(6459, 262175, F64, 18) (dual of [262175, 262116, 19]-code) | [i] | ✔ | |
| 34 | Linear OA(6487, 262179, F64, 27) (dual of [262179, 262092, 28]-code) | [i] | ✔ | |
| 35 | Linear OA(6460, 262179, F64, 18) (dual of [262179, 262119, 19]-code) | [i] | ✔ | |
| 36 | Linear OA(6491, 262183, F64, 28) (dual of [262183, 262092, 29]-code) | [i] | ✔ | |
| 37 | Linear OOA(6452, 29127, F64, 18, 18) (dual of [(29127, 18), 524234, 19]-NRT-code) | [i] | OA Folding and Stacking | |