Information on Result #661832
Linear OA(218, 48, F2, 7) (dual of [48, 30, 8]-code), using (u, u+v)-construction based on
- linear OA(26, 24, F2, 3) (dual of [24, 18, 4]-code or 24-cap in PG(5,2)), using
- discarding factors / shortening the dual code based on linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- linear OA(212, 24, F2, 7) (dual of [24, 12, 8]-code), using
- extended Golay code Ge(2) [i]
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(2259, 4145, F2, 41) (dual of [4145, 3886, 42]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(2239, 2097, F2, 41) (dual of [2097, 1858, 42]-code) | [i] | ||
| 3 | Linear OA(2259, 1073, F2, 49) (dual of [1073, 814, 50]-code) | [i] | ||
| 4 | Linear OA(2239, 1073, F2, 45) (dual of [1073, 834, 46]-code) | [i] | ||
| 5 | Linear OA(2219, 1073, F2, 41) (dual of [1073, 854, 42]-code) | [i] | ||
| 6 | Linear OA(2204, 1072, F2, 39) (dual of [1072, 868, 40]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 7 | Linear OA(2194, 1072, F2, 37) (dual of [1072, 878, 38]-code) | [i] | ||
| 8 | Linear OA(2184, 1072, F2, 35) (dual of [1072, 888, 36]-code) | [i] | ||
| 9 | Linear OA(2244, 557, F2, 55) (dual of [557, 313, 56]-code) | [i] | ||
| 10 | Linear OA(2235, 557, F2, 53) (dual of [557, 322, 54]-code) | [i] | ||
| 11 | Linear OA(2226, 557, F2, 51) (dual of [557, 331, 52]-code) | [i] | ||
| 12 | Linear OA(2181, 557, F2, 39) (dual of [557, 376, 40]-code) | [i] | ||
| 13 | Linear OA(2172, 557, F2, 37) (dual of [557, 385, 38]-code) | [i] | ||
| 14 | Linear OA(2163, 557, F2, 35) (dual of [557, 394, 36]-code) | [i] | ||
| 15 | Linear OA(2226, 560, F2, 49) (dual of [560, 334, 50]-code) | [i] | ||
| 16 | Linear OA(2217, 560, F2, 47) (dual of [560, 343, 48]-code) | [i] | ||
| 17 | Linear OA(2208, 560, F2, 45) (dual of [560, 352, 46]-code) | [i] | ||
| 18 | Linear OA(2199, 560, F2, 43) (dual of [560, 361, 44]-code) | [i] | ||
| 19 | Linear OA(2183, 298, F2, 51) (dual of [298, 115, 52]-code) | [i] | ||
| 20 | Linear OA(2175, 298, F2, 47) (dual of [298, 123, 48]-code) | [i] | ||
| 21 | Linear OA(2167, 298, F2, 45) (dual of [298, 131, 46]-code) | [i] | ||
| 22 | Linear OA(2143, 298, F2, 35) (dual of [298, 155, 36]-code) | [i] | ||
| 23 | Linear OOA(218, 24, F2, 2, 7) (dual of [(24, 2), 30, 8]-NRT-code) | [i] | OOA Folding | |