Information on Result #641806
Linear OA(993, 97, F9, 82) (dual of [97, 4, 83]-code), using juxtaposition based on
- linear OA(911, 15, F9, 10) (dual of [15, 4, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(911, 16, F9, 10) (dual of [16, 5, 11]-code), using
- extended algebraic-geometric code AGe(F,5P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- discarding factors / shortening the dual code based on linear OA(911, 16, F9, 10) (dual of [16, 5, 11]-code), using
- linear OA(978, 82, F9, 71) (dual of [82, 4, 72]-code), 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(993, 97, F9, 81) (dual of [97, 4, 82]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(9108, 112, F9, 93) (dual of [112, 4, 94]-code) | [i] | Juxtaposition | |
| 3 | Linear OA(9109, 113, F9, 94) (dual of [113, 4, 95]-code) | [i] | ||
| 4 | Linear OOA(993, 48, F9, 2, 82) (dual of [(48, 2), 3, 83]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(993, 32, F9, 3, 82) (dual of [(32, 3), 3, 83]-NRT-code) | [i] | ||