Information on Result #630145
Linear OA(2152, 184, F2, 59) (dual of [184, 32, 60]-code), using concatenation of two codes based on
- linear OA(1615, 23, F16, 14) (dual of [23, 8, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(1615, 24, F16, 14) (dual of [24, 9, 15]-code), using
- extended algebraic-geometric code AGe(F,9P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(1615, 24, F16, 14) (dual of [24, 9, 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(2152, 184, F2, 58) (dual of [184, 32, 59]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2152, 184, F2, 57) (dual of [184, 32, 58]-code) | [i] | ||
| 3 | Linear OA(2152, 184, F2, 56) (dual of [184, 32, 57]-code) | [i] | ||
| 4 | Linear OA(2153, 185, F2, 59) (dual of [185, 32, 60]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(2154, 186, F2, 59) (dual of [186, 32, 60]-code) | [i] | ||
| 6 | Linear OA(2155, 187, F2, 59) (dual of [187, 32, 60]-code) | [i] | ||
| 7 | Linear OA(2151, 183, F2, 58) (dual of [183, 32, 59]-code) | [i] | Truncation | |
| 8 | Linear OA(2150, 182, F2, 57) (dual of [182, 32, 58]-code) | [i] | ||
| 9 | Linear OA(2149, 181, F2, 56) (dual of [181, 32, 57]-code) | [i] | ||
| 10 | Linear OOA(2152, 92, F2, 2, 59) (dual of [(92, 2), 32, 60]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(2152, 61, F2, 3, 59) (dual of [(61, 3), 31, 60]-NRT-code) | [i] | ||