Information on Result #1027345
Linear OOA(4255, 87, F4, 3, 209) (dual of [(87, 3), 6, 210]-NRT-code), using juxtaposition based on
- linear OOA(412, 6, F4, 3, 11) (dual of [(6, 3), 6, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(412, 9, F4, 3, 11) (dual of [(9, 3), 15, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,15P) [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,15P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- discarding factors / shortening the dual code based on linear OOA(412, 9, F4, 3, 11) (dual of [(9, 3), 15, 12]-NRT-code), using
- linear OOA(4237, 81, F4, 3, 197) (dual of [(81, 3), 6, 198]-NRT-code), using
- repeating each code word 3 times [i] based on 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
- repeating each code word 3 times [i] based on linear OOA(475, 27, F4, 3, 65) (dual of [(27, 3), 6, 66]-NRT-code), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4255, 87, F4, 3, 208) (dual of [(87, 3), 6, 209]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4255, 87, F4, 3, 207) (dual of [(87, 3), 6, 208]-NRT-code) | [i] | ||