Information on Result #612591
Linear OA(421, 256, F4, 7) (dual of [256, 235, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(424, 262, F4, 7) (dual of [262, 238, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(426, 261, F4, 9) (dual of [261, 235, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(421, 260, F4, 7) (dual of [260, 239, 8]-code) | [i] | ✔ | |
| 4 | Linear OA(432, 267, F4, 10) (dual of [267, 235, 11]-code) | [i] | ✔ | |
| 5 | Linear OA(422, 265, F4, 7) (dual of [265, 243, 8]-code) | [i] | ✔ | |
| 6 | Linear OA(437, 272, F4, 11) (dual of [272, 235, 12]-code) | [i] | ✔ | |
| 7 | Linear OA(443, 277, F4, 12) (dual of [277, 234, 13]-code) | [i] | ✔ | |
| 8 | Linear OA(443, 275, F4, 13) (dual of [275, 232, 14]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(438, 274, F4, 11) (dual of [274, 236, 12]-code) | [i] | ✔ | |
| 10 | Linear OA(431, 263, F4, 10) (dual of [263, 232, 11]-code) | [i] | ✔ | |
| 11 | Linear OA(427, 263, F4, 9) (dual of [263, 236, 10]-code) | [i] | ✔ | |
| 12 | Linear OA(422, 266, F4, 7) (dual of [266, 244, 8]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |