Information on Result #641716
Linear OA(9121, 127, F9, 97) (dual of [127, 6, 98]-code), using juxtaposition based on
- linear OA(920, 26, F9, 17) (dual of [26, 6, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(920, 27, F9, 17) (dual of [27, 7, 18]-code), using
- algebraic-geometric code AG(F,9P) [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,9P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OA(920, 27, F9, 17) (dual of [27, 7, 18]-code), using
- linear OA(995, 101, F9, 79) (dual of [101, 6, 80]-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(97, 10, F9, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,9)), using
- extended Reed–Solomon code RSe(3,9) [i]
- 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 OA(9121, 127, F9, 96) (dual of [127, 6, 97]-code) | [i] | Strength Reduction | |