Information on Result #629733
Linear OA(2119, 175, F2, 37) (dual of [175, 56, 38]-code), using concatenation of two codes based on
- linear OA(1621, 35, F16, 18) (dual of [35, 14, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(1621, 38, F16, 18) (dual of [38, 17, 19]-code), using
- extended algebraic-geometric code AGe(F,19P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OA(1621, 38, F16, 18) (dual of [38, 17, 19]-code), using
- linear OA(21, 5, F2, 1) (dual of [5, 4, 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.
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(2118, 174, F2, 36) (dual of [174, 56, 37]-code) | [i] | Truncation | |
| 2 | Linear OOA(2119, 87, F2, 2, 37) (dual of [(87, 2), 55, 38]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2119, 58, F2, 3, 37) (dual of [(58, 3), 55, 38]-NRT-code) | [i] | ||