Information on Result #613277
Linear OA(4139, 256, F4, 53) (dual of [256, 117, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53
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(4140, 259, F4, 53) (dual of [259, 119, 54]-code) | [i] | ✔ | |
| 3 | Linear OA(4148, 265, F4, 55) (dual of [265, 117, 56]-code) | [i] | ✔ | |
| 4 | Linear OA(4145, 268, F4, 53) (dual of [268, 123, 54]-code) | [i] | ✔ | |
| 5 | Linear OA(4147, 273, F4, 53) (dual of [273, 126, 54]-code) | [i] | ✔ | |
| 6 | Linear OA(4148, 275, F4, 53) (dual of [275, 127, 54]-code) | [i] | ✔ | |
| 7 | Linear OA(4150, 281, F4, 53) (dual of [281, 131, 54]-code) | [i] | ✔ | |
| 8 | Linear OA(4150, 268, F4, 55) (dual of [268, 118, 56]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(4145, 263, F4, 54) (dual of [263, 118, 55]-code) | [i] | ✔ | |
| 10 | Linear OA(4144, 264, F4, 53) (dual of [264, 120, 54]-code) | [i] | ✔ | |
| 11 | Linear OA(4148, 277, F4, 52) (dual of [277, 129, 53]-code) | [i] | ✔ | |
| 12 | Linear OOA(4139, 128, F4, 2, 53) (dual of [(128, 2), 117, 54]-NRT-code) | [i] | OOA Folding | |