Information on Result #1027519
Linear OOA(4134, 46, F4, 3, 117) (dual of [(46, 3), 4, 118]-NRT-code), using juxtaposition based on
- linear OOA(423, 9, F4, 3, 22) (dual of [(9, 3), 4, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,4P) [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,4P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- linear OOA(4107, 37, F4, 3, 94) (dual of [(37, 3), 4, 95]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(423, 9, F4, 3, 22) (dual of [(9, 3), 4, 23]-NRT-code) (see above)
- linear OOA(480, 28, F4, 3, 71) (dual of [(28, 3), 4, 72]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(438, 14, F4, 3, 35) (dual of [(14, 3), 4, 36]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,6P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- repeating each code word 2 times [i] based on linear OOA(438, 14, F4, 3, 35) (dual of [(14, 3), 4, 36]-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(4129, 44, F4, 3, 112) (dual of [(44, 3), 3, 113]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(4128, 44, F4, 3, 111) (dual of [(44, 3), 4, 112]-NRT-code) | [i] | ||
| 3 | Linear OOA(4127, 43, F4, 3, 110) (dual of [(43, 3), 2, 111]-NRT-code) | [i] | ||
| 4 | Linear OOA(4126, 43, F4, 3, 109) (dual of [(43, 3), 3, 110]-NRT-code) | [i] | ||
| 5 | Linear OOA(4123, 42, F4, 3, 106) (dual of [(42, 3), 3, 107]-NRT-code) | [i] | ||