Information on Result #644158
Linear OA(821, 36, F8, 13) (dual of [36, 15, 14]-code), using construction X applied to AG(F,19P) ⊂ AG(F,21P) based on
- linear OA(820, 33, F8, 13) (dual of [33, 13, 14]-code), using algebraic-geometric code AG(F,19P) [i] based on function field F/F8 with g(F) = 7 and N(F) ≥ 34, using
- linear OA(818, 33, F8, 11) (dual of [33, 15, 12]-code), using algebraic-geometric code AG(F,21P) [i] based on function field F/F8 with g(F) = 7 and N(F) ≥ 34 (see above)
- linear OA(81, 3, F8, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 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 OOA(821, 18, F8, 2, 13) (dual of [(18, 2), 15, 14]-NRT-code) | [i] | OOA Folding | |