Information on Result #657134
Linear OA(918, 32, F9, 13) (dual of [32, 14, 14]-code), using algebraic-geometric code AG(F,9P) with degP = 2 based on function field F/F9 with g(F) = 5 and N(F) ≥ 32, using a function field by Sémirat [i]
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(990, 760, F9, 27) (dual of [760, 670, 28]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(9138, 59080, F9, 27) (dual of [59080, 58942, 28]-code) | [i] | ||
| 3 | Linear OA(988, 761, F9, 26) (dual of [761, 673, 27]-code) | [i] | ||
| 4 | Linear OA(9134, 59081, F9, 26) (dual of [59081, 58947, 27]-code) | [i] | ||
| 5 | Linear OA(368, 96, F3, 27) (dual of [96, 28, 28]-code) | [i] | Concatenation of Two Codes | |
| 6 | Linear OA(3100, 128, F3, 41) (dual of [128, 28, 42]-code) | [i] | ||
| 7 | Linear OA(921, 35, F9, 15) (dual of [35, 14, 16]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 8 | Linear OA(919, 35, F9, 13) (dual of [35, 16, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(991, 114, F9, 55) (dual of [114, 23, 56]-code) | [i] | Construction X with Cyclic Codes | |
| 10 | Linear OA(975, 114, F9, 39) (dual of [114, 39, 40]-code) | [i] | ||
| 11 | Linear OA(983, 113, F9, 47) (dual of [113, 30, 48]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 12 | Linear OA(991, 114, F9, 56) (dual of [114, 23, 57]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 13 | Linear OA(984, 114, F9, 48) (dual of [114, 30, 49]-code) | [i] | ||
| 14 | Linear OOA(918, 16, F9, 2, 13) (dual of [(16, 2), 14, 14]-NRT-code) | [i] | OOA Folding | |