Information on Result #661584
Linear OA(8119, 130, F8, 84) (dual of [130, 11, 85]-code), using juxtaposition based on
- linear OA(853, 64, F8, 41) (dual of [64, 11, 42]-code), using
- algebraic-geometric code AG(F,23P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using the Suzuki function field over F8 [i]
- linear OA(855, 66, F8, 42) (dual of [66, 11, 43]-code), using
- construction X applied to AG(F,21P) ⊂ AG(F,23P) [i] based on
- linear OA(855, 64, F8, 42) (dual of [64, 9, 43]-code), using algebraic-geometric code AG(F,21P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OA(853, 64, F8, 41) (dual of [64, 11, 42]-code), using algebraic-geometric code AG(F,23P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OA(80, 2, F8, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to AG(F,21P) ⊂ AG(F,23P) [i] based on
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(8119, 65, F8, 2, 84) (dual of [(65, 2), 11, 85]-NRT-code) | [i] | OOA Folding | |