Information on Result #644105
Linear OA(820, 26, F8, 16) (dual of [26, 6, 17]-code), using construction X applied to AG(F,6P) ⊂ AG(F,8P) based on
- linear OA(819, 23, F8, 16) (dual of [23, 4, 17]-code), using algebraic-geometric code AG(F,6P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- linear OA(817, 23, F8, 14) (dual of [23, 6, 15]-code), using algebraic-geometric code AG(F,8P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24 (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(8105, 539, F8, 33) (dual of [539, 434, 34]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8161, 32795, F8, 33) (dual of [32795, 32634, 34]-code) | [i] | ||
| 3 | Linear OOA(2138, 78, F2, 2, 67) (dual of [(78, 2), 18, 68]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 4 | Linear OOA(2138, 52, F2, 3, 67) (dual of [(52, 3), 18, 68]-NRT-code) | [i] | ||
| 5 | Linear OOA(2216, 78, F2, 3, 118) (dual of [(78, 3), 18, 119]-NRT-code) | [i] | ||
| 6 | Linear OOA(820, 13, F8, 2, 16) (dual of [(13, 2), 6, 17]-NRT-code) | [i] | OOA Folding | |