Information on Result #1027823
Linear OOA(9149, 51, F9, 3, 139) (dual of [(51, 3), 4, 140]-NRT-code), using juxtaposition based on
- linear OOA(935, 13, F9, 3, 34) (dual of [(13, 3), 4, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(935, 16, F9, 3, 34) (dual of [(16, 3), 13, 35]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;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(935, 16, F9, 3, 34) (dual of [(16, 3), 13, 35]-NRT-code), using
- linear OOA(9110, 38, F9, 3, 104) (dual of [(38, 3), 4, 105]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(926, 10, F9, 3, 26) (dual of [(10, 3), 4, 27]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;4,9) [i]
- linear OOA(980, 28, F9, 3, 77) (dual of [(28, 3), 4, 78]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,6P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric NRT-code AGe(3;F,6P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- linear OOA(926, 10, F9, 3, 26) (dual of [(10, 3), 4, 27]-NRT-code), using
- juxtaposition [i] based on
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(9149, 51, F9, 3, 138) (dual of [(51, 3), 4, 139]-NRT-code) | [i] | Strength Reduction for OOAs | |