Information on Result #706118
Linear OA(436, 255, F4, 12) (dual of [255, 219, 13]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
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
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(440, 282, F4, 12) (dual of [282, 242, 13]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(441, 305, F4, 12) (dual of [305, 264, 13]-code) | [i] | ||
| 3 | Linear OA(442, 337, F4, 12) (dual of [337, 295, 13]-code) | [i] | ||
| 4 | Linear OA(443, 377, F4, 12) (dual of [377, 334, 13]-code) | [i] | ||
| 5 | Linear OA(444, 425, F4, 12) (dual of [425, 381, 13]-code) | [i] | ||
| 6 | Linear OA(443, 266, F4, 14) (dual of [266, 223, 15]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(459, 290, F4, 17) (dual of [290, 231, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(458, 282, F4, 17) (dual of [282, 224, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(458, 285, F4, 17) (dual of [285, 227, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(456, 279, F4, 17) (dual of [279, 223, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(454, 277, F4, 16) (dual of [277, 223, 17]-code) | [i] | ✔ | |
| 12 | Linear OA(451, 270, F4, 16) (dual of [270, 219, 17]-code) | [i] | ✔ | |
| 13 | Linear OA(464, 283, F4, 19) (dual of [283, 219, 20]-code) | [i] | ✔ | |
| 14 | Linear OA(471, 290, F4, 21) (dual of [290, 219, 22]-code) | [i] | ✔ | |
| 15 | Linear OOA(436, 127, F4, 2, 12) (dual of [(127, 2), 218, 13]-NRT-code) | [i] | OOA Folding | |