Information on Result #629481
Linear OA(241, 56, F2, 17) (dual of [56, 15, 18]-code), using concatenation of two codes based on
- linear OA(89, 14, F8, 8) (dual of [14, 5, 9]-code), using
- extended algebraic-geometric code AGe(F,5P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- linear OA(21, 4, F2, 1) (dual of [4, 3, 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(240, 55, F2, 16) (dual of [55, 15, 17]-code) | [i] | Truncation | |
| 2 | Linear OOA(241, 28, F2, 2, 17) (dual of [(28, 2), 15, 18]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(241, 18, F2, 3, 17) (dual of [(18, 3), 13, 18]-NRT-code) | [i] | ||