Information on Result #910692
Linear OOA(975, 39, F9, 2, 70) (dual of [(39, 2), 3, 71]-NRT-code), using juxtaposition based on
- linear OOA(919, 11, F9, 2, 18) (dual of [(11, 2), 3, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(919, 16, F9, 2, 18) (dual of [(16, 2), 13, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,13P) [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 OOA(919, 16, F9, 2, 18) (dual of [(16, 2), 13, 19]-NRT-code), using
- linear OOA(953, 28, F9, 2, 51) (dual of [(28, 2), 3, 52]-NRT-code), using
- standard lengthening with (d0,…,d1) = (50,51) [i] based on linear OOA(951, 27, F9, 2, 49) (dual of [(27, 2), 3, 50]-NRT-code), using algebraic-geometric NRT-code AG(2;F,4P) with known gap numbers [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using the Hermitian function field over F9 [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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(975, 39, F9, 2, 69) (dual of [(39, 2), 3, 70]-NRT-code) | [i] | Strength Reduction for OOAs | |