Information on Result #612570
Linear OA(413, 256, F4, 5) (dual of [256, 243, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5
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(417, 260, F4, 6) (dual of [260, 243, 7]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(422, 265, F4, 7) (dual of [265, 243, 8]-code) | [i] | ✔ | |
| 3 | Linear OA(429, 272, F4, 9) (dual of [272, 243, 10]-code) | [i] | ✔ | |
| 4 | Linear OA(434, 274, F4, 10) (dual of [274, 240, 11]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(419, 263, F4, 6) (dual of [263, 244, 7]-code) | [i] | ✔ | |
| 6 | Linear OA(422, 266, F4, 7) (dual of [266, 244, 8]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 7 | Linear OOA(413, 128, F4, 2, 5) (dual of [(128, 2), 243, 6]-NRT-code) | [i] | OOA Folding | |