Information on Result #706744
Linear OA(4100, 255, F4, 36) (dual of [255, 155, 37]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37
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(4107, 266, F4, 38) (dual of [266, 159, 39]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4122, 283, F4, 41) (dual of [283, 161, 42]-code) | [i] | ✔ | |
| 3 | Linear OA(4120, 279, F4, 41) (dual of [279, 159, 42]-code) | [i] | ✔ | |
| 4 | Linear OA(4118, 277, F4, 40) (dual of [277, 159, 41]-code) | [i] | ✔ | |
| 5 | Linear OA(4128, 287, F4, 42) (dual of [287, 159, 43]-code) | [i] | ✔ | |
| 6 | Linear OA(4140, 296, F4, 44) (dual of [296, 156, 45]-code) | [i] | ✔ | |
| 7 | Linear OA(4123, 278, F4, 42) (dual of [278, 155, 43]-code) | [i] | ✔ | |
| 8 | Linear OA(4137, 292, F4, 44) (dual of [292, 155, 45]-code) | [i] | ✔ | |
| 9 | Linear OA(4115, 270, F4, 40) (dual of [270, 155, 41]-code) | [i] | ✔ | |
| 10 | Linear OA(4128, 283, F4, 43) (dual of [283, 155, 44]-code) | [i] | ✔ | |
| 11 | Linear OA(4136, 291, F4, 44) (dual of [291, 155, 45]-code) | [i] | ✔ | |
| 12 | Linear OA(4135, 290, F4, 45) (dual of [290, 155, 46]-code) | [i] | ✔ | |
| 13 | Linear OA(4133, 288, F4, 44) (dual of [288, 155, 45]-code) | [i] | ✔ | |
| 14 | Linear OA(4134, 282, F4, 45) (dual of [282, 148, 46]-code) | [i] | ✔ | |
| 15 | Linear OA(4143, 298, F4, 46) (dual of [298, 155, 47]-code) | [i] | ✔ | |
| 16 | Linear OA(4142, 295, F4, 46) (dual of [295, 153, 47]-code) | [i] | ✔ | |
| 17 | Linear OA(4142, 297, F4, 46) (dual of [297, 155, 47]-code) | [i] | ✔ | |
| 18 | Linear OOA(4100, 127, F4, 2, 36) (dual of [(127, 2), 154, 37]-NRT-code) | [i] | OOA Folding | |
| 19 | Linear OOA(4100, 85, F4, 3, 36) (dual of [(85, 3), 155, 37]-NRT-code) | [i] | ||