Information on Result #630458
Linear OA(2249, 384, F2, 69) (dual of [384, 135, 70]-code), using concatenation of two codes based on
- linear OA(3237, 64, F32, 34) (dual of [64, 27, 35]-code), using
- extended algebraic-geometric code AGe(F,29P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- linear OA(21, 6, F2, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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, 384, F2, 68) (dual of [384, 135, 69]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2250, 385, F2, 69) (dual of [385, 135, 70]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2251, 386, F2, 69) (dual of [386, 135, 70]-code) | [i] | ||
| 4 | Linear OA(2252, 387, F2, 69) (dual of [387, 135, 70]-code) | [i] | ||
| 5 | Linear OA(2253, 388, F2, 69) (dual of [388, 135, 70]-code) | [i] | ||
| 6 | Linear OA(2254, 389, F2, 69) (dual of [389, 135, 70]-code) | [i] | ||
| 7 | Linear OA(2255, 390, F2, 69) (dual of [390, 135, 70]-code) | [i] | ||
| 8 | Linear OA(2248, 383, F2, 68) (dual of [383, 135, 69]-code) | [i] | Truncation | |
| 9 | Linear OA(2252, 389, F2, 68) (dual of [389, 137, 69]-code) | [i] | Construction X with Varšamov Bound | |
| 10 | Linear OA(2253, 391, F2, 68) (dual of [391, 138, 69]-code) | [i] | ||
| 11 | Linear OOA(2249, 192, F2, 2, 69) (dual of [(192, 2), 135, 70]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(2249, 128, F2, 3, 69) (dual of [(128, 3), 135, 70]-NRT-code) | [i] | ||