Information on Result #630215
Linear OA(2248, 304, F2, 87) (dual of [304, 56, 88]-code), using concatenation of two codes 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
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(2248, 304, F2, 86) (dual of [304, 56, 87]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2248, 304, F2, 85) (dual of [304, 56, 86]-code) | [i] | ||
| 3 | Linear OA(2248, 304, F2, 84) (dual of [304, 56, 85]-code) | [i] | ||
| 4 | Linear OA(2249, 305, F2, 87) (dual of [305, 56, 88]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(2250, 306, F2, 87) (dual of [306, 56, 88]-code) | [i] | ||
| 6 | Linear OA(2251, 307, F2, 87) (dual of [307, 56, 88]-code) | [i] | ||
| 7 | Linear OA(2252, 308, F2, 87) (dual of [308, 56, 88]-code) | [i] | ||
| 8 | Linear OA(2253, 309, F2, 87) (dual of [309, 56, 88]-code) | [i] | ||
| 9 | Linear OA(2254, 310, F2, 87) (dual of [310, 56, 88]-code) | [i] | ||
| 10 | Linear OA(2255, 311, F2, 87) (dual of [311, 56, 88]-code) | [i] | ||
| 11 | Linear OA(2256, 312, F2, 87) (dual of [312, 56, 88]-code) | [i] | ||
| 12 | Linear OA(2257, 313, F2, 87) (dual of [313, 56, 88]-code) | [i] | ||
| 13 | Linear OA(2258, 314, F2, 87) (dual of [314, 56, 88]-code) | [i] | ||
| 14 | Linear OA(2247, 303, F2, 86) (dual of [303, 56, 87]-code) | [i] | Truncation | |
| 15 | Linear OA(2246, 302, F2, 85) (dual of [302, 56, 86]-code) | [i] | ||
| 16 | Linear OA(2245, 301, F2, 84) (dual of [301, 56, 85]-code) | [i] | ||
| 17 | Linear OOA(2248, 152, F2, 2, 87) (dual of [(152, 2), 56, 88]-NRT-code) | [i] | OOA Folding | |
| 18 | Linear OOA(2248, 101, F2, 3, 87) (dual of [(101, 3), 55, 88]-NRT-code) | [i] | ||