Information on Result #1027559
Linear OOA(490, 31, F4, 3, 81) (dual of [(31, 3), 3, 82]-NRT-code), using juxtaposition based on
- linear OOA(49, 4, F4, 3, 9) (dual of [(4, 3), 3, 10]-NRT-code), using
- Reed–Solomon NRT-code RS(3;3,4) [i]
- linear OOA(478, 27, F4, 3, 71) (dual of [(27, 3), 3, 72]-NRT-code), using
- repeating each code word 3 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 3 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(490, 31, F4, 3, 80) (dual of [(31, 3), 3, 81]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(490, 31, F4, 3, 79) (dual of [(31, 3), 3, 80]-NRT-code) | [i] | ||
| 3 | Linear OOA(490, 31, F4, 3, 78) (dual of [(31, 3), 3, 79]-NRT-code) | [i] | ||
| 4 | Linear OOA(490, 31, F4, 3, 77) (dual of [(31, 3), 3, 78]-NRT-code) | [i] | ||