Information on Result #630388
Linear OA(2224, 384, F2, 59) (dual of [384, 160, 60]-code), using concatenation of two codes based on
- linear OA(3232, 64, F32, 29) (dual of [64, 32, 30]-code), using
- extended algebraic-geometric code AGe(F,34P) [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(2224, 384, F2, 58) (dual of [384, 160, 59]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2225, 385, F2, 59) (dual of [385, 160, 60]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2226, 386, F2, 59) (dual of [386, 160, 60]-code) | [i] | ||
| 4 | Linear OA(2227, 387, F2, 59) (dual of [387, 160, 60]-code) | [i] | ||
| 5 | Linear OA(2228, 388, F2, 59) (dual of [388, 160, 60]-code) | [i] | ||
| 6 | Linear OA(2229, 389, F2, 59) (dual of [389, 160, 60]-code) | [i] | ||
| 7 | Linear OA(2223, 383, F2, 58) (dual of [383, 160, 59]-code) | [i] | Truncation | |
| 8 | Linear OA(2227, 389, F2, 58) (dual of [389, 162, 59]-code) | [i] | Construction X with Varšamov Bound | |
| 9 | Linear OOA(2224, 192, F2, 2, 59) (dual of [(192, 2), 160, 60]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(2224, 128, F2, 3, 59) (dual of [(128, 3), 160, 60]-NRT-code) | [i] | ||