Information on Result #641720
Linear OA(9124, 130, F9, 99) (dual of [130, 6, 100]-code), using juxtaposition based on
- linear OA(921, 27, F9, 18) (dual of [27, 6, 19]-code), using
- algebraic-geometric code AG(F,8P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- algebraic-geometric code AG(F,8P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- linear OA(997, 103, F9, 80) (dual of [103, 6, 81]-code), using
- construction X applied to C1 ⊂ C0 [i] based on
- linear OA(988, 91, F9, 80) (dual of [91, 3, 81]-code), using code C1 for u = 3 by de Boer and Brouwer [i]
- linear OA(985, 91, F9, 71) (dual of [91, 6, 72]-code), using code C0 for u = 3 by de Boer and Brouwer [i]
- linear OA(99, 12, F9, 8) (dual of [12, 3, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(99, 19, F9, 8) (dual of [19, 10, 9]-code), using
- 1 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [i]
- 1 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(99, 19, F9, 8) (dual of [19, 10, 9]-code), using
- construction X applied to C1 ⊂ C0 [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(9124, 65, F9, 2, 99) (dual of [(65, 2), 6, 100]-NRT-code) | [i] | OOA Folding | |