Information on Result #630146
Linear OA(2148, 176, F2, 59) (dual of [176, 28, 60]-code), using concatenation of two codes based on
- linear OA(1615, 22, F16, 14) (dual of [22, 7, 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(2147, 175, F2, 58) (dual of [175, 28, 59]-code) | [i] | Truncation | |
| 2 | Linear OOA(2148, 88, F2, 2, 59) (dual of [(88, 2), 28, 60]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2148, 58, F2, 3, 59) (dual of [(58, 3), 26, 60]-NRT-code) | [i] | ||
| 4 | Linear OOA(2148, 35, F2, 5, 59) (dual of [(35, 5), 27, 60]-NRT-code) | [i] | ||