Information on Result #629644
Linear OA(269, 105, F2, 23) (dual of [105, 36, 24]-code), using concatenation of two codes based on
- linear OA(1612, 21, F16, 11) (dual of [21, 9, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(1612, 24, F16, 11) (dual of [24, 12, 12]-code), using
- extended algebraic-geometric code AGe(F,12P) [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(1612, 24, F16, 11) (dual of [24, 12, 12]-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(268, 104, F2, 22) (dual of [104, 36, 23]-code) | [i] | Truncation | |
| 2 | Linear OOA(269, 52, F2, 2, 23) (dual of [(52, 2), 35, 24]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(269, 35, F2, 3, 23) (dual of [(35, 3), 36, 24]-NRT-code) | [i] | ||