Information on Result #644152
Linear OA(824, 36, F8, 16) (dual of [36, 12, 17]-code), using construction X applied to AG(F,16P) ⊂ AG(F,18P) based on
- linear OA(823, 33, F8, 16) (dual of [33, 10, 17]-code), using algebraic-geometric code AG(F,16P) [i] based on function field F/F8 with g(F) = 7 and N(F) ≥ 34, using
- linear OA(821, 33, F8, 14) (dual of [33, 12, 15]-code), using algebraic-geometric code AG(F,18P) [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 OA(8165, 32805, F8, 33) (dual of [32805, 32640, 34]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(824, 18, F8, 2, 16) (dual of [(18, 2), 12, 17]-NRT-code) | [i] | OOA Folding | |