Information on Result #2226522
Linear OA(2247, 303, F2, 86) (dual of [303, 56, 87]-code), using 1 times truncation based on linear OA(2248, 304, F2, 87) (dual of [304, 56, 88]-code), using
- concatenation of two codes [i] based on
- linear OA(1624, 38, F16, 21) (dual of [38, 14, 22]-code), using
- extended algebraic-geometric code AGe(F,16P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- linear OA(24, 8, F2, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), using
- linear OA(1624, 38, F16, 21) (dual of [38, 14, 22]-code), using
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2249, 305, F2, 86) (dual of [305, 56, 87]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(2250, 306, F2, 86) (dual of [306, 56, 87]-code) | [i] | ||
| 3 | Linear OA(2251, 307, F2, 86) (dual of [307, 56, 87]-code) | [i] | ||
| 4 | Linear OA(2252, 308, F2, 86) (dual of [308, 56, 87]-code) | [i] | ||
| 5 | Linear OA(2253, 309, F2, 86) (dual of [309, 56, 87]-code) | [i] | ||
| 6 | Linear OA(2254, 310, F2, 86) (dual of [310, 56, 87]-code) | [i] | ||
| 7 | Linear OA(2255, 311, F2, 86) (dual of [311, 56, 87]-code) | [i] | ||
| 8 | Linear OA(2256, 312, F2, 86) (dual of [312, 56, 87]-code) | [i] | ||
| 9 | Linear OA(2257, 313, F2, 86) (dual of [313, 56, 87]-code) | [i] | ||
| 10 | Linear OA(2254, 311, F2, 86) (dual of [311, 57, 87]-code) | [i] | Construction X with Varšamov Bound | |
| 11 | Linear OOA(2247, 151, F2, 2, 86) (dual of [(151, 2), 55, 87]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(2247, 101, F2, 3, 86) (dual of [(101, 3), 56, 87]-NRT-code) | [i] | ||