Information on Result #910685
Linear OOA(969, 36, F9, 2, 65) (dual of [(36, 2), 3, 66]-NRT-code), using juxtaposition based on
- linear OOA(913, 8, F9, 2, 13) (dual of [(8, 2), 3, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(913, 9, F9, 2, 13) (dual of [(9, 2), 5, 14]-NRT-code), using
- Reed–Solomon NRT-code RS(2;5,9) [i]
- discarding factors / shortening the dual code based on linear OOA(913, 9, F9, 2, 13) (dual of [(9, 2), 5, 14]-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(969, 36, F9, 2, 64) (dual of [(36, 2), 3, 65]-NRT-code) | [i] | Strength Reduction for OOAs | |