Information on Result #1027451
Linear OOA(4232, 79, F4, 3, 196) (dual of [(79, 3), 5, 197]-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(4205, 70, F4, 3, 174) (dual of [(70, 3), 5, 175]-NRT-code), using
- repeating each code word 5 times [i] based on linear OOA(437, 14, F4, 3, 34) (dual of [(14, 3), 5, 35]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,7P) [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(437, 14, F4, 3, 34) (dual of [(14, 3), 5, 35]-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(4232, 79, F4, 3, 195) (dual of [(79, 3), 5, 196]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4232, 79, F4, 3, 194) (dual of [(79, 3), 5, 195]-NRT-code) | [i] | ||
| 3 | Linear OOA(4232, 79, F4, 3, 193) (dual of [(79, 3), 5, 194]-NRT-code) | [i] | ||
| 4 | Linear OOA(4232, 79, F4, 3, 192) (dual of [(79, 3), 5, 193]-NRT-code) | [i] | ||
| 5 | Linear OOA(4232, 79, F4, 3, 191) (dual of [(79, 3), 5, 192]-NRT-code) | [i] | ||
| 6 | Linear OOA(4232, 79, F4, 3, 190) (dual of [(79, 3), 5, 191]-NRT-code) | [i] | ||
| 7 | Linear OOA(4232, 79, F4, 3, 189) (dual of [(79, 3), 5, 190]-NRT-code) | [i] | ||
| 8 | Linear OOA(4231, 78, F4, 3, 195) (dual of [(78, 3), 3, 196]-NRT-code) | [i] | Truncation for OOAs | |
| 9 | Linear OOA(4259, 88, F4, 3, 218) (dual of [(88, 3), 5, 219]-NRT-code) | [i] | Juxtaposition for OOAs | |