Information on Result #619900
Linear OA(2121, 255, F2, 33) (dual of [255, 134, 34]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−16,−15,…,16}, and designed minimum distance d ≥ |I|+1 = 34
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(2121, 255, F2, 32) (dual of [255, 134, 33]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2122, 256, F2, 33) (dual of [256, 134, 34]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2123, 257, F2, 33) (dual of [257, 134, 34]-code) | [i] | ||
| 4 | Linear OA(2120, 254, F2, 32) (dual of [254, 134, 33]-code) | [i] | Truncation | |
| 5 | Linear OA(2124, 259, F2, 33) (dual of [259, 135, 34]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(2125, 263, F2, 33) (dual of [263, 138, 34]-code) | [i] | ✔ | |
| 7 | Linear OA(2126, 268, F2, 33) (dual of [268, 142, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(2130, 273, F2, 33) (dual of [273, 143, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(2132, 282, F2, 33) (dual of [282, 150, 34]-code) | [i] | ✔ | |
| 10 | Linear OA(2138, 295, F2, 33) (dual of [295, 157, 34]-code) | [i] | ✔ | |
| 11 | Linear OA(2126, 260, F2, 35) (dual of [260, 134, 36]-code) | [i] | ✔ | |
| 12 | Linear OA(2142, 299, F2, 34) (dual of [299, 157, 35]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 13 | Linear OA(2137, 287, F2, 35) (dual of [287, 150, 36]-code) | [i] | ✔ | |
| 14 | Linear OA(2131, 273, F2, 35) (dual of [273, 142, 36]-code) | [i] | ✔ | |
| 15 | Linear OA(2131, 265, F2, 37) (dual of [265, 134, 38]-code) | [i] | ✔ | |
| 16 | Linear OOA(2121, 127, F2, 2, 33) (dual of [(127, 2), 133, 34]-NRT-code) | [i] | OOA Folding | |
| 17 | Linear OOA(2121, 85, F2, 3, 33) (dual of [(85, 3), 134, 34]-NRT-code) | [i] | ||
| 18 | Linear OOA(2121, 63, F2, 4, 33) (dual of [(63, 4), 131, 34]-NRT-code) | [i] | ||