Information on Result #701632
Linear OA(276, 255, F2, 20) (dual of [255, 179, 21]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21
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
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(275, 171, F2, 20) (dual of [171, 96, 21]-code) | [i] | Construction Y1 | |
| 2 | Linear OA(2112, 291, F2, 26) (dual of [291, 179, 27]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(290, 277, F2, 23) (dual of [277, 187, 24]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(287, 274, F2, 22) (dual of [274, 187, 23]-code) | [i] | ✔ | |
| 5 | Linear OA(2104, 291, F2, 25) (dual of [291, 187, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(2100, 287, F2, 24) (dual of [287, 187, 25]-code) | [i] | ✔ | |
| 7 | Linear OA(299, 280, F2, 24) (dual of [280, 181, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(2114, 300, F2, 26) (dual of [300, 186, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(2113, 297, F2, 26) (dual of [297, 184, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(298, 277, F2, 25) (dual of [277, 179, 26]-code) | [i] | ✔ | |
| 11 | Linear OA(295, 274, F2, 24) (dual of [274, 179, 25]-code) | [i] | ✔ | |
| 12 | Linear OA(2112, 291, F2, 27) (dual of [291, 179, 28]-code) | [i] | ✔ | |
| 13 | Linear OA(2108, 287, F2, 26) (dual of [287, 179, 27]-code) | [i] | ✔ | |
| 14 | Linear OA(2107, 280, F2, 26) (dual of [280, 173, 27]-code) | [i] | ✔ | |
| 15 | Linear OA(2122, 300, F2, 28) (dual of [300, 178, 29]-code) | [i] | ✔ | |
| 16 | Linear OA(2121, 297, F2, 28) (dual of [297, 176, 29]-code) | [i] | ✔ | |
| 17 | Linear OA(2121, 300, F2, 28) (dual of [300, 179, 29]-code) | [i] | ✔ | |
| 18 | Linear OOA(276, 127, F2, 2, 20) (dual of [(127, 2), 178, 21]-NRT-code) | [i] | OOA Folding | |
| 19 | Linear OOA(276, 85, F2, 3, 20) (dual of [(85, 3), 179, 21]-NRT-code) | [i] | ||
| 20 | Linear OOA(276, 63, F2, 4, 20) (dual of [(63, 4), 176, 21]-NRT-code) | [i] | ||
| 21 | Linear OOA(276, 51, F2, 5, 20) (dual of [(51, 5), 179, 21]-NRT-code) | [i] | ||