Information on Result #1027443
Linear OOA(4124, 43, F4, 3, 105) (dual of [(43, 3), 5, 106]-NRT-code), using juxtaposition based on
- linear OOA(422, 9, F4, 3, 21) (dual of [(9, 3), 5, 22]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,5P) [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,5P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- linear OOA(497, 34, F4, 3, 83) (dual of [(34, 3), 5, 84]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(446, 17, F4, 3, 41) (dual of [(17, 3), 5, 42]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,9P) [i] based on function field F/F4 with g(F) = 5 and N(F) ≥ 17, using
- repeating each code word 2 times [i] based on linear OOA(446, 17, F4, 3, 41) (dual of [(17, 3), 5, 42]-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(4124, 43, F4, 3, 104) (dual of [(43, 3), 5, 105]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4124, 43, F4, 3, 103) (dual of [(43, 3), 5, 104]-NRT-code) | [i] | ||