Information on Result #2225885
Linear OA(2205, 261, F2, 68) (dual of [261, 56, 69]-code), using 3 times truncation based on linear OA(2208, 264, F2, 71) (dual of [264, 56, 72]-code), using
- concatenation of two codes [i] based on
- linear OA(1619, 33, F16, 17) (dual of [33, 14, 18]-code), using
- extended algebraic-geometric code AGe(F,15P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- linear OA(24, 8, F2, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), using
- linear OA(1619, 33, F16, 17) (dual of [33, 14, 18]-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(2209, 265, F2, 68) (dual of [265, 56, 69]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(2210, 266, F2, 68) (dual of [266, 56, 69]-code) | [i] | ||
| 3 | Linear OA(2211, 267, F2, 68) (dual of [267, 56, 69]-code) | [i] | ||
| 4 | Linear OA(2212, 268, F2, 68) (dual of [268, 56, 69]-code) | [i] | ||
| 5 | Linear OA(2209, 266, F2, 68) (dual of [266, 57, 69]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OA(2211, 269, F2, 68) (dual of [269, 58, 69]-code) | [i] | ||
| 7 | Linear OOA(2205, 130, F2, 2, 68) (dual of [(130, 2), 55, 69]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(2205, 87, F2, 3, 68) (dual of [(87, 3), 56, 69]-NRT-code) | [i] | ||