Information on Result #673922
Linear OA(2208, 255, F2, 84) (dual of [255, 47, 85]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,84], and designed minimum distance d ≥ |I|+1 = 85
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(2208, 255, F2, 83) (dual of [255, 47, 84]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2208, 255, F2, 82) (dual of [255, 47, 83]-code) | [i] | ||
| 3 | Linear OA(2208, 255, F2, 81) (dual of [255, 47, 82]-code) | [i] | ||
| 4 | Linear OA(2208, 255, F2, 80) (dual of [255, 47, 81]-code) | [i] | ||
| 5 | Linear OA(2208, 255, F2, 79) (dual of [255, 47, 80]-code) | [i] | ||
| 6 | Linear OA(2208, 255, F2, 78) (dual of [255, 47, 79]-code) | [i] | ||
| 7 | Linear OA(2208, 255, F2, 77) (dual of [255, 47, 78]-code) | [i] | ||
| 8 | Linear OA(2208, 255, F2, 76) (dual of [255, 47, 77]-code) | [i] | ||
| 9 | Linear OA(2213, 260, F2, 84) (dual of [260, 47, 85]-code) | [i] | Code Embedding in Larger Space | |
| 10 | Linear OA(2214, 261, F2, 84) (dual of [261, 47, 85]-code) | [i] | ||
| 11 | Linear OA(2215, 262, F2, 84) (dual of [262, 47, 85]-code) | [i] | ||
| 12 | Linear OA(2216, 263, F2, 84) (dual of [263, 47, 85]-code) | [i] | ||
| 13 | Linear OA(2207, 239, F2, 84) (dual of [239, 32, 85]-code) | [i] | Construction Y1 | |
| 14 | Linear OA(2254, 317, F2, 84) (dual of [317, 63, 85]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 15 | Linear OA(2253, 311, F2, 84) (dual of [311, 58, 85]-code) | [i] | ✔ | |
| 16 | Linear OA(2252, 310, F2, 84) (dual of [310, 58, 85]-code) | [i] | ✔ | |
| 17 | Linear OA(2253, 313, F2, 84) (dual of [313, 60, 85]-code) | [i] | ✔ | |
| 18 | Linear OA(2248, 311, F2, 82) (dual of [311, 63, 83]-code) | [i] | ✔ | |
| 19 | Linear OA(2225, 272, F2, 90) (dual of [272, 47, 91]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 20 | Linear OA(2221, 268, F2, 88) (dual of [268, 47, 89]-code) | [i] | ✔ | |
| 21 | Linear OA(2245, 292, F2, 94) (dual of [292, 47, 95]-code) | [i] | ✔ | |
| 22 | Linear OA(2239, 286, F2, 92) (dual of [286, 47, 93]-code) | [i] | ✔ | |
| 23 | Linear OA(2244, 290, F2, 94) (dual of [290, 46, 95]-code) | [i] | ✔ | |
| 24 | Linear OA(2240, 282, F2, 94) (dual of [282, 42, 95]-code) | [i] | ✔ | |
| 25 | Linear OA(2256, 303, F2, 96) (dual of [303, 47, 97]-code) | [i] | ✔ | |
| 26 | Linear OA(2257, 299, F2, 98) (dual of [299, 42, 99]-code) | [i] | ✔ | |
| 27 | Linear OA(2252, 294, F2, 96) (dual of [294, 42, 97]-code) | [i] | ✔ | |
| 28 | Linear OA(2225, 273, F2, 84) (dual of [273, 48, 85]-code) | [i] | Construction X with Varšamov Bound | |
| 29 | Linear OA(2234, 283, F2, 84) (dual of [283, 49, 85]-code) | [i] | ||
| 30 | Linear OA(2239, 289, F2, 84) (dual of [289, 50, 85]-code) | [i] | ||
| 31 | Linear OOA(2208, 127, F2, 2, 84) (dual of [(127, 2), 46, 85]-NRT-code) | [i] | OOA Folding | |
| 32 | Linear OOA(2208, 85, F2, 3, 84) (dual of [(85, 3), 47, 85]-NRT-code) | [i] | ||
| 33 | Linear OOA(2208, 51, F2, 5, 84) (dual of [(51, 5), 47, 85]-NRT-code) | [i] | ||
| 34 | Linear OOA(2208, 36, F2, 7, 84) (dual of [(36, 7), 44, 85]-NRT-code) | [i] | ||