Information on Result #707165
Linear OA(4244, 255, F4, 174) (dual of [255, 11, 175]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,174], and designed minimum distance d ≥ |I|+1 = 175
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(4244, 255, F4, 173) (dual of [255, 11, 174]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4244, 255, F4, 172) (dual of [255, 11, 173]-code) | [i] | ||
| 3 | Linear OA(4246, 257, F4, 174) (dual of [257, 11, 175]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4255, 270, F4, 177) (dual of [270, 15, 178]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(4256, 269, F4, 178) (dual of [269, 13, 179]-code) | [i] | ✔ | |
| 6 | Linear OA(4253, 266, F4, 176) (dual of [266, 13, 177]-code) | [i] | ✔ | |
| 7 | Linear OOA(4244, 127, F4, 2, 174) (dual of [(127, 2), 10, 175]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(4244, 85, F4, 3, 174) (dual of [(85, 3), 11, 175]-NRT-code) | [i] | ||