Information on Result #611525
Linear OA(2243, 256, F2, 119) (dual of [256, 13, 120]-code), using an extension Ce(118) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,118], and designed minimum distance d ≥ |I|+1 = 119
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2243, 256, F2, 118) (dual of [256, 13, 119]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2243, 256, F2, 117) (dual of [256, 13, 118]-code) | [i] | ||
| 3 | Linear OA(2243, 256, F2, 116) (dual of [256, 13, 117]-code) | [i] | ||
| 4 | Linear OA(2243, 256, F2, 115) (dual of [256, 13, 116]-code) | [i] | ||
| 5 | Linear OA(2244, 257, F2, 119) (dual of [257, 13, 120]-code) | [i] | Code Embedding in Larger Space | |
| 6 | Linear OA(2245, 258, F2, 119) (dual of [258, 13, 120]-code) | [i] | ||
| 7 | Linear OA(2242, 255, F2, 118) (dual of [255, 13, 119]-code) | [i] | Truncation | |
| 8 | Linear OA(2241, 254, F2, 117) (dual of [254, 13, 118]-code) | [i] | ||
| 9 | Linear OA(2240, 253, F2, 116) (dual of [253, 13, 117]-code) | [i] | ||
| 10 | Linear OA(2239, 252, F2, 115) (dual of [252, 13, 116]-code) | [i] | ||
| 11 | Linear OA(2238, 251, F2, 114) (dual of [251, 13, 115]-code) | [i] | ||
| 12 | Linear OA(2237, 250, F2, 113) (dual of [250, 13, 114]-code) | [i] | ||
| 13 | Linear OA(2236, 249, F2, 112) (dual of [249, 13, 113]-code) | [i] | ||
| 14 | Linear OA(2256, 269, F2, 120) (dual of [269, 13, 121]-code) | [i] | Juxtaposition | |
| 15 | Linear OA(2248, 261, F2, 121) (dual of [261, 13, 122]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 16 | Linear OA(2254, 264, F2, 127) (dual of [264, 10, 128]-code) | [i] | ✔ | |
| 17 | Linear OA(2257, 268, F2, 127) (dual of [268, 11, 128]-code) | [i] | ✔ | |
| 18 | Linear OA(2258, 271, F2, 127) (dual of [271, 13, 128]-code) | [i] | ✔ | |
| 19 | Linear OA(2254, 265, F2, 125) (dual of [265, 11, 126]-code) | [i] | ✔ | |
| 20 | Linear OA(2255, 268, F2, 125) (dual of [268, 13, 126]-code) | [i] | ✔ | |
| 21 | Linear OA(2251, 264, F2, 123) (dual of [264, 13, 124]-code) | [i] | ✔ | |
| 22 | Linear OA(2244, 265, F2, 113) (dual of [265, 21, 114]-code) | [i] | ✔ | |
| 23 | Linear OA(2250, 264, F2, 119) (dual of [264, 14, 120]-code) | [i] | ✔ | |
| 24 | Linear OA(2253, 268, F2, 119) (dual of [268, 15, 120]-code) | [i] | ✔ | |
| 25 | Linear OA(2254, 272, F2, 119) (dual of [272, 18, 120]-code) | [i] | ✔ | |
| 26 | Linear OA(2255, 276, F2, 119) (dual of [276, 21, 120]-code) | [i] | ✔ | |
| 27 | Linear OA(2250, 265, F2, 117) (dual of [265, 15, 118]-code) | [i] | ✔ | |
| 28 | Linear OA(2251, 268, F2, 117) (dual of [268, 17, 118]-code) | [i] | ✔ | |
| 29 | Linear OA(2252, 273, F2, 117) (dual of [273, 21, 118]-code) | [i] | ✔ | |
| 30 | Linear OA(2247, 264, F2, 115) (dual of [264, 17, 116]-code) | [i] | ✔ | |
| 31 | Linear OA(2248, 269, F2, 115) (dual of [269, 21, 116]-code) | [i] | ✔ | |
| 32 | Linear OA(2260, 275, F2, 121) (dual of [275, 15, 122]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 33 | Linear OA(2260, 274, F2, 123) (dual of [274, 14, 124]-code) | [i] | ✔ | |
| 34 | Linear OA(2256, 270, F2, 121) (dual of [270, 14, 122]-code) | [i] | ✔ | |
| 35 | Linear OA(2260, 282, F2, 113) (dual of [282, 22, 114]-code) | [i] | ✔ | |
| 36 | Linear OOA(2243, 128, F2, 2, 119) (dual of [(128, 2), 13, 120]-NRT-code) | [i] | OOA Folding | |