Information on Result #619902
Linear OA(2217, 255, F2, 89) (dual of [255, 38, 90]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−84,−83,…,4}, and designed minimum distance d ≥ |I|+1 = 90
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]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2217, 255, F2, 88) (dual of [255, 38, 89]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2216, 254, F2, 88) (dual of [254, 38, 89]-code) | [i] | Truncation | |
| 3 | Linear OA(2128, 165, F2, 44) (dual of [165, 37, 45]-code) | [i] | Residual Code | |
| 4 | Linear OA(2220, 258, F2, 91) (dual of [258, 38, 92]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(2230, 268, F2, 93) (dual of [268, 38, 94]-code) | [i] | ✔ | |
| 6 | Linear OA(2257, 295, F2, 101) (dual of [295, 38, 102]-code) | [i] | ✔ | |
| 7 | Linear OA(2254, 292, F2, 99) (dual of [292, 38, 100]-code) | [i] | ✔ | |
| 8 | Linear OA(2245, 279, F2, 97) (dual of [279, 34, 98]-code) | [i] | ✔ | |
| 9 | Linear OA(2249, 287, F2, 97) (dual of [287, 38, 98]-code) | [i] | ✔ | |
| 10 | Linear OA(2245, 292, F2, 95) (dual of [292, 47, 96]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 11 | Linear OA(2242, 289, F2, 94) (dual of [289, 47, 95]-code) | [i] | ✔ | |
| 12 | Linear OA(2237, 284, F2, 92) (dual of [284, 47, 93]-code) | [i] | ✔ | |
| 13 | Linear OA(2241, 287, F2, 94) (dual of [287, 46, 95]-code) | [i] | ✔ | |
| 14 | Linear OA(2237, 283, F2, 93) (dual of [283, 46, 94]-code) | [i] | ✔ | |
| 15 | Linear OA(2241, 286, F2, 95) (dual of [286, 45, 96]-code) | [i] | ✔ | |
| 16 | Linear OA(2260, 307, F2, 97) (dual of [307, 47, 98]-code) | [i] | ✔ | |
| 17 | Linear OA(2257, 304, F2, 96) (dual of [304, 47, 97]-code) | [i] | ✔ | |
| 18 | Linear OA(2252, 293, F2, 96) (dual of [293, 41, 97]-code) | [i] | ✔ | |
| 19 | Linear OA(2260, 306, F2, 98) (dual of [306, 46, 99]-code) | [i] | ✔ | |
| 20 | Linear OA(2256, 300, F2, 97) (dual of [300, 44, 98]-code) | [i] | ✔ | |
| 21 | Linear OA(2252, 292, F2, 97) (dual of [292, 40, 98]-code) | [i] | ✔ | |
| 22 | Linear OA(2233, 271, F2, 95) (dual of [271, 38, 96]-code) | [i] | ✔ | |
| 23 | Linear OA(2229, 267, F2, 93) (dual of [267, 38, 94]-code) | [i] | ✔ | |
| 24 | Linear OA(2260, 298, F2, 103) (dual of [298, 38, 104]-code) | [i] | ✔ | |
| 25 | Linear OA(2247, 285, F2, 97) (dual of [285, 38, 98]-code) | [i] | ✔ | |
| 26 | Linear OA(2248, 282, F2, 99) (dual of [282, 34, 100]-code) | [i] | ✔ | |
| 27 | Linear OA(2250, 288, F2, 99) (dual of [288, 38, 100]-code) | [i] | ✔ | |
| 28 | Linear OA(2245, 283, F2, 97) (dual of [283, 38, 98]-code) | [i] | ✔ | |
| 29 | Linear OA(2249, 286, F2, 99) (dual of [286, 37, 100]-code) | [i] | ✔ | |
| 30 | Linear OOA(2217, 127, F2, 2, 89) (dual of [(127, 2), 37, 90]-NRT-code) | [i] | OOA Folding | |
| 31 | Linear OOA(2217, 85, F2, 3, 89) (dual of [(85, 3), 38, 90]-NRT-code) | [i] | ||
| 32 | Linear OOA(2217, 51, F2, 5, 89) (dual of [(51, 5), 38, 90]-NRT-code) | [i] | ||