Information on Result #1027511
Linear OOA(4230, 78, F4, 3, 199) (dual of [(78, 3), 4, 200]-NRT-code), using juxtaposition based on
- linear OOA(420, 8, F4, 3, 19) (dual of [(8, 3), 4, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(420, 9, F4, 3, 19) (dual of [(9, 3), 7, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,7P) [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,7P) [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(420, 9, F4, 3, 19) (dual of [(9, 3), 7, 20]-NRT-code), using
- linear OOA(4206, 70, F4, 3, 179) (dual of [(70, 3), 4, 180]-NRT-code), using
- repeating each code word 5 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 5 times [i] based on linear OOA(438, 14, F4, 3, 35) (dual of [(14, 3), 4, 36]-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(4230, 78, F4, 3, 198) (dual of [(78, 3), 4, 199]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4230, 78, F4, 3, 197) (dual of [(78, 3), 4, 198]-NRT-code) | [i] | ||
| 3 | Linear OOA(4230, 78, F4, 3, 196) (dual of [(78, 3), 4, 197]-NRT-code) | [i] | ||
| 4 | Linear OOA(4230, 78, F4, 3, 195) (dual of [(78, 3), 4, 196]-NRT-code) | [i] | ||
| 5 | Linear OOA(4230, 78, F4, 3, 194) (dual of [(78, 3), 4, 195]-NRT-code) | [i] | ||
| 6 | Linear OOA(4230, 78, F4, 3, 193) (dual of [(78, 3), 4, 194]-NRT-code) | [i] | ||
| 7 | Linear OOA(4230, 78, F4, 3, 192) (dual of [(78, 3), 4, 193]-NRT-code) | [i] | ||
| 8 | Linear OOA(4230, 78, F4, 3, 191) (dual of [(78, 3), 4, 192]-NRT-code) | [i] | ||
| 9 | Linear OOA(4230, 78, F4, 3, 190) (dual of [(78, 3), 4, 191]-NRT-code) | [i] | ||
| 10 | Linear OOA(4230, 78, F4, 3, 189) (dual of [(78, 3), 4, 190]-NRT-code) | [i] | ||
| 11 | Linear OOA(4254, 86, F4, 3, 219) (dual of [(86, 3), 4, 220]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 12 | Linear OOA(4257, 87, F4, 3, 222) (dual of [(87, 3), 4, 223]-NRT-code) | [i] | ||