Information on Result #1027573
Linear OOA(4162, 55, F4, 3, 145) (dual of [(55, 3), 3, 146]-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(4147, 50, F4, 3, 132) (dual of [(50, 3), 3, 133]-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(4132, 45, F4, 3, 119) (dual of [(45, 3), 3, 120]-NRT-code), using
- repeating each code word 5 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 5 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(4162, 55, F4, 3, 144) (dual of [(55, 3), 3, 145]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4162, 55, F4, 3, 143) (dual of [(55, 3), 3, 144]-NRT-code) | [i] | ||
| 3 | Linear OOA(4157, 53, F4, 3, 140) (dual of [(53, 3), 2, 141]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(4156, 53, F4, 3, 139) (dual of [(53, 3), 3, 140]-NRT-code) | [i] | ||
| 5 | Linear OOA(4153, 52, F4, 3, 136) (dual of [(52, 3), 3, 137]-NRT-code) | [i] | ||
| 6 | Linear OOA(4150, 51, F4, 3, 133) (dual of [(51, 3), 3, 134]-NRT-code) | [i] | ||
| 7 | Linear OOA(4145, 49, F4, 3, 128) (dual of [(49, 3), 2, 129]-NRT-code) | [i] | ||
| 8 | Linear OOA(4139, 47, F4, 3, 122) (dual of [(47, 3), 2, 123]-NRT-code) | [i] | ||
| 9 | Linear OOA(4136, 46, F4, 3, 119) (dual of [(46, 3), 2, 120]-NRT-code) | [i] | ||