Information on Result #630154
Linear OA(2180, 232, F2, 59) (dual of [232, 52, 60]-code), using concatenation of two codes based on
- linear OA(1616, 29, F16, 14) (dual of [29, 13, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(1616, 33, F16, 14) (dual of [33, 17, 15]-code), using
- extended algebraic-geometric code AGe(F,18P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OA(1616, 33, F16, 14) (dual of [33, 17, 15]-code), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2180, 232, F2, 58) (dual of [232, 52, 59]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2181, 233, F2, 59) (dual of [233, 52, 60]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2182, 234, F2, 59) (dual of [234, 52, 60]-code) | [i] | ||
| 4 | Linear OA(2179, 231, F2, 58) (dual of [231, 52, 59]-code) | [i] | Truncation | |
| 5 | Linear OOA(2180, 116, F2, 2, 59) (dual of [(116, 2), 52, 60]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2180, 77, F2, 3, 59) (dual of [(77, 3), 51, 60]-NRT-code) | [i] | ||