Information on Result #619904
Linear OA(2233, 255, F2, 101) (dual of [255, 22, 102]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−84,−83,…,16}, and designed minimum distance d ≥ |I|+1 = 102
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(2233, 255, F2, 100) (dual of [255, 22, 101]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2231, 253, F2, 99) (dual of [253, 22, 100]-code) | [i] | Truncation | |
| 3 | Linear OA(2230, 252, F2, 98) (dual of [252, 22, 99]-code) | [i] | ||
| 4 | Linear OA(2229, 251, F2, 97) (dual of [251, 22, 98]-code) | [i] | ||
| 5 | Linear OA(2228, 250, F2, 96) (dual of [250, 22, 97]-code) | [i] | ||
| 6 | Linear OA(2245, 275, F2, 101) (dual of [275, 30, 102]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(2242, 272, F2, 99) (dual of [272, 30, 100]-code) | [i] | ✔ | |
| 8 | Linear OA(2238, 268, F2, 97) (dual of [268, 30, 98]-code) | [i] | ✔ | |
| 9 | Linear OA(2257, 295, F2, 101) (dual of [295, 38, 102]-code) | [i] | ✔ | |
| 10 | Linear OA(2254, 292, F2, 99) (dual of [292, 38, 100]-code) | [i] | ✔ | |
| 11 | Linear OA(2245, 279, F2, 97) (dual of [279, 34, 98]-code) | [i] | ✔ | |
| 12 | Linear OA(2249, 287, F2, 97) (dual of [287, 38, 98]-code) | [i] | ✔ | |
| 13 | Linear OA(2257, 303, F2, 97) (dual of [303, 46, 98]-code) | [i] | ✔ | |
| 14 | Linear OA(2236, 258, F2, 103) (dual of [258, 22, 104]-code) | [i] | ✔ | |
| 15 | Linear OA(2241, 263, F2, 105) (dual of [263, 22, 106]-code) | [i] | ✔ | |
| 16 | Linear OA(2260, 298, F2, 103) (dual of [298, 38, 104]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 17 | Linear OA(2247, 285, F2, 97) (dual of [285, 38, 98]-code) | [i] | ✔ | |
| 18 | Linear OA(2248, 282, F2, 99) (dual of [282, 34, 100]-code) | [i] | ✔ | |
| 19 | Linear OA(2248, 278, F2, 103) (dual of [278, 30, 104]-code) | [i] | ✔ | |
| 20 | Linear OA(2241, 271, F2, 99) (dual of [271, 30, 100]-code) | [i] | ✔ | |
| 21 | Linear OA(2237, 267, F2, 97) (dual of [267, 30, 98]-code) | [i] | ✔ | |
| 22 | Linear OA(2244, 266, F2, 107) (dual of [266, 22, 108]-code) | [i] | ✔ | |
| 23 | Linear OOA(2233, 85, F2, 3, 101) (dual of [(85, 3), 22, 102]-NRT-code) | [i] | OOA Folding | |
| 24 | Linear OOA(2233, 51, F2, 5, 101) (dual of [(51, 5), 22, 102]-NRT-code) | [i] | ||