Information on Result #644566
Linear OA(945, 66, F9, 31) (dual of [66, 21, 32]-code), using construction X applied to AG(F,31P) ⊂ AG(F,33P) based on
- linear OA(944, 63, F9, 31) (dual of [63, 19, 32]-code), using algebraic-geometric code AG(F,31P) [i] based on function field F/F9 with g(F) = 13 and N(F) ≥ 64, using
- linear OA(942, 63, F9, 29) (dual of [63, 21, 30]-code), using algebraic-geometric code AG(F,33P) [i] based on function field F/F9 with g(F) = 13 and N(F) ≥ 64 (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 OOA(945, 33, F9, 2, 31) (dual of [(33, 2), 21, 32]-NRT-code) | [i] | OOA Folding | |