Information on Result #1026544
Linear OOA(3167, 57, F3, 3, 136) (dual of [(57, 3), 4, 137]-NRT-code), using juxtaposition based on
- linear OOA(38, 4, F3, 3, 8) (dual of [(4, 3), 4, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;4,3) [i]
- linear OOA(3155, 53, F3, 3, 127) (dual of [(53, 3), 4, 128]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(38, 4, F3, 3, 8) (dual of [(4, 3), 4, 9]-NRT-code) (see above)
- linear OOA(3143, 49, F3, 3, 118) (dual of [(49, 3), 4, 119]-NRT-code), using
- repeating each code word 7 times [i] based on linear OOA(317, 7, F3, 3, 16) (dual of [(7, 3), 4, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,4P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- repeating each code word 7 times [i] based on linear OOA(317, 7, F3, 3, 16) (dual of [(7, 3), 4, 17]-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(3167, 57, F3, 3, 135) (dual of [(57, 3), 4, 136]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3167, 57, F3, 3, 134) (dual of [(57, 3), 4, 135]-NRT-code) | [i] | ||
| 3 | Linear OOA(3167, 57, F3, 3, 133) (dual of [(57, 3), 4, 134]-NRT-code) | [i] | ||
| 4 | Linear OOA(3167, 57, F3, 3, 132) (dual of [(57, 3), 4, 133]-NRT-code) | [i] | ||
| 5 | Linear OOA(3167, 57, F3, 3, 131) (dual of [(57, 3), 4, 132]-NRT-code) | [i] | ||
| 6 | Linear OOA(3167, 57, F3, 3, 130) (dual of [(57, 3), 4, 131]-NRT-code) | [i] | ||
| 7 | Linear OOA(3167, 57, F3, 3, 129) (dual of [(57, 3), 4, 130]-NRT-code) | [i] | ||
| 8 | Linear OOA(3167, 57, F3, 3, 128) (dual of [(57, 3), 4, 129]-NRT-code) | [i] | ||