Information on Result #613285
Linear OA(4143, 256, F4, 54) (dual of [256, 113, 55]-code), using an extension Ce(53) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,53], and designed minimum distance d ≥ |I|+1 = 54
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(4143, 260, F4, 54) (dual of [260, 117, 55]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(4152, 265, F4, 56) (dual of [265, 113, 57]-code) | [i] | ✔ | |
| 3 | Linear OA(4146, 265, F4, 54) (dual of [265, 119, 55]-code) | [i] | ✔ | |
| 4 | Linear OA(4151, 273, F4, 54) (dual of [273, 122, 55]-code) | [i] | ✔ | |
| 5 | Linear OA(4145, 263, F4, 54) (dual of [263, 118, 55]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(4150, 270, F4, 54) (dual of [270, 120, 55]-code) | [i] | ✔ | |