Information on Result #1027571
Linear OOA(4135, 46, F4, 3, 121) (dual of [(46, 3), 3, 122]-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(4120, 41, F4, 3, 108) (dual of [(41, 3), 3, 109]-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(4105, 36, F4, 3, 95) (dual of [(36, 3), 3, 96]-NRT-code), using
- repeating each code word 4 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 4 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(4129, 44, F4, 3, 115) (dual of [(44, 3), 3, 116]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(4127, 43, F4, 3, 113) (dual of [(43, 3), 2, 114]-NRT-code) | [i] | ||
| 3 | Linear OOA(4126, 43, F4, 3, 112) (dual of [(43, 3), 3, 113]-NRT-code) | [i] | ||
| 4 | Linear OOA(4123, 42, F4, 3, 109) (dual of [(42, 3), 3, 110]-NRT-code) | [i] | ||
| 5 | Linear OOA(4121, 41, F4, 3, 107) (dual of [(41, 3), 2, 108]-NRT-code) | [i] | ||
| 6 | Linear OOA(4112, 38, F4, 3, 98) (dual of [(38, 3), 2, 99]-NRT-code) | [i] | ||