Information on Result #612660
Linear OA(464, 262144, F4, 10) (dual of [262144, 262080, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10
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(469, 262150, F4, 10) (dual of [262150, 262081, 11]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(470, 262156, F4, 10) (dual of [262156, 262086, 11]-code) | [i] | ||
| 3 | Linear OA(473, 262153, F4, 11) (dual of [262153, 262080, 12]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(464, 262153, F4, 10) (dual of [262153, 262089, 11]-code) | [i] | ✔ | |
| 5 | Linear OA(483, 262163, F4, 12) (dual of [262163, 262080, 13]-code) | [i] | ✔ | |
| 6 | Linear OA(485, 262165, F4, 13) (dual of [262165, 262080, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(467, 262165, F4, 10) (dual of [262165, 262098, 11]-code) | [i] | ✔ | |
| 8 | Linear OA(496, 262176, F4, 14) (dual of [262176, 262080, 15]-code) | [i] | ✔ | |
| 9 | Linear OA(469, 262176, F4, 10) (dual of [262176, 262107, 11]-code) | [i] | ✔ | |
| 10 | Linear OA(4107, 262187, F4, 15) (dual of [262187, 262080, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(4119, 262199, F4, 16) (dual of [262199, 262080, 17]-code) | [i] | ✔ | |
| 12 | Linear OA(4118, 262195, F4, 16) (dual of [262195, 262077, 17]-code) | [i] | ✔ | |
| 13 | Linear OA(485, 262167, F4, 12) (dual of [262167, 262082, 13]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 14 | Linear OA(483, 262164, F4, 12) (dual of [262164, 262081, 13]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |