Information on Result #1027578
Linear OOA(4228, 77, F4, 3, 204) (dual of [(77, 3), 3, 205]-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(4213, 72, F4, 3, 191) (dual of [(72, 3), 3, 192]-NRT-code), using
- repeating each code word 8 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 8 times [i] based on linear OOA(424, 9, F4, 3, 23) (dual of [(9, 3), 3, 24]-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(4228, 77, F4, 3, 203) (dual of [(77, 3), 3, 204]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4228, 77, F4, 3, 202) (dual of [(77, 3), 3, 203]-NRT-code) | [i] | ||
| 3 | Linear OOA(4228, 77, F4, 3, 201) (dual of [(77, 3), 3, 202]-NRT-code) | [i] | ||
| 4 | Linear OOA(4228, 77, F4, 3, 200) (dual of [(77, 3), 3, 201]-NRT-code) | [i] | ||
| 5 | Linear OOA(4228, 77, F4, 3, 199) (dual of [(77, 3), 3, 200]-NRT-code) | [i] | ||
| 6 | Linear OOA(4228, 77, F4, 3, 198) (dual of [(77, 3), 3, 199]-NRT-code) | [i] | ||
| 7 | Linear OOA(4228, 77, F4, 3, 197) (dual of [(77, 3), 3, 198]-NRT-code) | [i] | ||
| 8 | Linear OOA(4228, 77, F4, 3, 196) (dual of [(77, 3), 3, 197]-NRT-code) | [i] | ||
| 9 | Linear OOA(4228, 77, F4, 3, 195) (dual of [(77, 3), 3, 196]-NRT-code) | [i] | ||
| 10 | Linear OOA(4228, 77, F4, 3, 194) (dual of [(77, 3), 3, 195]-NRT-code) | [i] | ||
| 11 | Linear OOA(4228, 77, F4, 3, 193) (dual of [(77, 3), 3, 194]-NRT-code) | [i] | ||
| 12 | Linear OOA(4228, 77, F4, 3, 192) (dual of [(77, 3), 3, 193]-NRT-code) | [i] | ||
| 13 | Linear OOA(4228, 77, F4, 3, 191) (dual of [(77, 3), 3, 192]-NRT-code) | [i] | ||
| 14 | Linear OOA(4228, 77, F4, 3, 190) (dual of [(77, 3), 3, 191]-NRT-code) | [i] | ||
| 15 | Linear OOA(4220, 74, F4, 3, 196) (dual of [(74, 3), 2, 197]-NRT-code) | [i] | Truncation for OOAs | |
| 16 | Linear OOA(4217, 73, F4, 3, 193) (dual of [(73, 3), 2, 194]-NRT-code) | [i] | ||
| 17 | Linear OOA(4211, 71, F4, 3, 187) (dual of [(71, 3), 2, 188]-NRT-code) | [i] | ||
| 18 | Linear OOA(4210, 71, F4, 3, 186) (dual of [(71, 3), 3, 187]-NRT-code) | [i] | ||
| 19 | Linear OOA(4207, 70, F4, 3, 183) (dual of [(70, 3), 3, 184]-NRT-code) | [i] | ||
| 20 | Linear OOA(4204, 69, F4, 3, 180) (dual of [(69, 3), 3, 181]-NRT-code) | [i] | ||
| 21 | Linear OOA(4199, 67, F4, 3, 175) (dual of [(67, 3), 2, 176]-NRT-code) | [i] | ||
| 22 | Linear OOA(4243, 82, F4, 3, 217) (dual of [(82, 3), 3, 218]-NRT-code) | [i] | Juxtaposition for OOAs | |