Information on Result #1027365
Linear OOA(4141, 49, F4, 3, 117) (dual of [(49, 3), 6, 118]-NRT-code), using juxtaposition based on
- linear OOA(433, 13, F4, 3, 30) (dual of [(13, 3), 6, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(433, 14, F4, 3, 30) (dual of [(14, 3), 9, 31]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,11P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(433, 14, F4, 3, 30) (dual of [(14, 3), 9, 31]-NRT-code), using
- linear OOA(4102, 36, F4, 3, 86) (dual of [(36, 3), 6, 87]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(421, 9, F4, 3, 20) (dual of [(9, 3), 6, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,6P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- extended algebraic-geometric NRT-code AGe(3;F,6P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- linear OOA(475, 27, F4, 3, 65) (dual of [(27, 3), 6, 66]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,15P) [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, using
- linear OOA(421, 9, F4, 3, 20) (dual of [(9, 3), 6, 21]-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(4141, 49, F4, 3, 116) (dual of [(49, 3), 6, 117]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4141, 49, F4, 3, 115) (dual of [(49, 3), 6, 116]-NRT-code) | [i] | ||
| 3 | Linear OOA(4141, 49, F4, 3, 114) (dual of [(49, 3), 6, 115]-NRT-code) | [i] | ||