Information on Result #1027569
Linear OOA(4108, 37, F4, 3, 97) (dual of [(37, 3), 3, 98]-NRT-code), using juxtaposition based on
- linear OOA(412, 5, F4, 3, 12) (dual of [(5, 3), 3, 13]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;3,4) [i]
- linear OOA(493, 32, F4, 3, 84) (dual of [(32, 3), 3, 85]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(412, 5, F4, 3, 12) (dual of [(5, 3), 3, 13]-NRT-code) (see above)
- linear OOA(478, 27, F4, 3, 71) (dual of [(27, 3), 3, 72]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(424, 9, F4, 3, 23) (dual of [(9, 3), 3, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,3P) [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,3P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- repeating each code word 3 times [i] based on linear OOA(424, 9, F4, 3, 23) (dual of [(9, 3), 3, 24]-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(4102, 35, F4, 3, 91) (dual of [(35, 3), 3, 92]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(4100, 34, F4, 3, 89) (dual of [(34, 3), 2, 90]-NRT-code) | [i] | ||
| 3 | Linear OOA(499, 34, F4, 3, 88) (dual of [(34, 3), 3, 89]-NRT-code) | [i] | ||
| 4 | Linear OOA(496, 33, F4, 3, 85) (dual of [(33, 3), 3, 86]-NRT-code) | [i] | ||