Information on Result #1027553
Linear OOA(4222, 75, F4, 3, 198) (dual of [(75, 3), 3, 199]-NRT-code), using juxtaposition based on
- linear OOA(46, 3, F4, 3, 6) (dual of [(3, 3), 3, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(46, 4, F4, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(3;6,4) [i]
- discarding factors / shortening the dual code based on linear OOA(46, 4, F4, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
- 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(4222, 75, F4, 3, 197) (dual of [(75, 3), 3, 198]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4222, 75, F4, 3, 196) (dual of [(75, 3), 3, 197]-NRT-code) | [i] | ||
| 3 | Linear OOA(4222, 75, F4, 3, 195) (dual of [(75, 3), 3, 196]-NRT-code) | [i] | ||