Information on Result #657135
Linear OA(919, 35, F9, 13) (dual of [35, 16, 14]-code), using construction X applied to AG(F,9P) ⊂ AG(F,10P) based on
- linear OA(918, 32, F9, 13) (dual of [32, 14, 14]-code), using algebraic-geometric code AG(F,9P) with degP = 2 [i] based on function field F/F9 with g(F) = 5 and N(F) ≥ 32, using a function field by Sémirat [i]
- linear OA(916, 32, F9, 11) (dual of [32, 16, 12]-code), using algebraic-geometric code AG(F,10P) with degPÂ =Â 2 [i] based on function field F/F9 with g(F) = 5 and N(F) ≥ 32 (see above)
- linear OA(91, 3, F9, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 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(991, 763, F9, 27) (dual of [763, 672, 28]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(992, 765, F9, 27) (dual of [765, 673, 28]-code) | [i] | ||
| 3 | Linear OA(9139, 59083, F9, 27) (dual of [59083, 58944, 28]-code) | [i] | ||
| 4 | Linear OA(9140, 59085, F9, 27) (dual of [59085, 58945, 28]-code) | [i] | ||
| 5 | Linear OA(9135, 59084, F9, 26) (dual of [59084, 58949, 27]-code) | [i] | ||
| 6 | Linear OA(992, 117, F9, 55) (dual of [117, 25, 56]-code) | [i] | Construction X with Cyclic Codes | |
| 7 | Linear OA(976, 117, F9, 39) (dual of [117, 41, 40]-code) | [i] | ||
| 8 | Linear OA(974, 115, F9, 38) (dual of [115, 41, 39]-code) | [i] | ||
| 9 | Linear OA(983, 115, F9, 46) (dual of [115, 32, 47]-code) | [i] | ||