Information on Result #681397
Linear OA(4251, 256, F4, 191) (dual of [256, 5, 192]-code), using an extension Ce(190) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,190], and designed minimum distance d ≥ |I|+1 = 191
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4251, 256, F4, 190) (dual of [256, 5, 191]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4251, 256, F4, 189) (dual of [256, 5, 190]-code) | [i] | ||
| 3 | Linear OA(4252, 257, F4, 191) (dual of [257, 5, 192]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4253, 258, F4, 191) (dual of [258, 5, 192]-code) | [i] | ||
| 5 | Linear OA(4250, 255, F4, 190) (dual of [255, 5, 191]-code) | [i] | Truncation | |
| 6 | Linear OA(4249, 254, F4, 189) (dual of [254, 5, 190]-code) | [i] | ||
| 7 | Linear OA(4248, 253, F4, 188) (dual of [253, 5, 189]-code) | [i] | ||
| 8 | Linear OA(4247, 252, F4, 187) (dual of [252, 5, 188]-code) | [i] | ||
| 9 | Linear OA(4246, 251, F4, 186) (dual of [251, 5, 187]-code) | [i] | ||
| 10 | Linear OA(4245, 250, F4, 185) (dual of [250, 5, 186]-code) | [i] | ||
| 11 | Linear OA(4244, 249, F4, 184) (dual of [249, 5, 185]-code) | [i] | ||
| 12 | Linear OA(4243, 248, F4, 183) (dual of [248, 5, 184]-code) | [i] | ||
| 13 | Linear OA(4241, 246, F4, 181) (dual of [246, 5, 182]-code) | [i] | ||
| 14 | Linear OA(4240, 245, F4, 180) (dual of [245, 5, 181]-code) | [i] | ||
| 15 | Linear OA(4256, 261, F4, 192) (dual of [261, 5, 193]-code) | [i] | Juxtaposition | |
| 16 | Linear OA(4257, 262, F4, 193) (dual of [262, 5, 194]-code) | [i] | ||
| 17 | Linear OA(4259, 264, F4, 194) (dual of [264, 5, 195]-code) | [i] | ||
| 18 | Linear OA(4260, 265, F4, 195) (dual of [265, 5, 196]-code) | [i] | ||
| 19 | Linear OA(4256, 261, F4, 193) (dual of [261, 5, 194]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 20 | Linear OA(4260, 265, F4, 196) (dual of [265, 5, 197]-code) | [i] | ✔ | |
| 21 | Linear OA(4254, 261, F4, 191) (dual of [261, 7, 192]-code) | [i] | ✔ | |
| 22 | Linear OA(4260, 266, F4, 193) (dual of [266, 6, 194]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 23 | Linear OOA(4251, 128, F4, 2, 191) (dual of [(128, 2), 5, 192]-NRT-code) | [i] | OOA Folding | |