Information on Result #1027013
Linear OOA(4260, 91, F4, 3, 196) (dual of [(91, 3), 13, 197]-NRT-code), using juxtaposition based on
- linear OOA(462, 25, F4, 3, 52) (dual of [(25, 3), 13, 53]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(462, 26, F4, 3, 52) (dual of [(26, 3), 16, 53]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,25P) [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, using
- discarding factors / shortening the dual code based on linear OOA(462, 26, F4, 3, 52) (dual of [(26, 3), 16, 53]-NRT-code), using
- linear OOA(4185, 66, F4, 3, 143) (dual of [(66, 3), 13, 144]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(486, 33, F4, 3, 71) (dual of [(33, 3), 13, 72]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,27P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- repeating each code word 2 times [i] based on linear OOA(486, 33, F4, 3, 71) (dual of [(33, 3), 13, 72]-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(4260, 91, F4, 3, 195) (dual of [(91, 3), 13, 196]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4260, 91, F4, 3, 194) (dual of [(91, 3), 13, 195]-NRT-code) | [i] | ||
| 3 | Linear OOA(4260, 91, F4, 3, 193) (dual of [(91, 3), 13, 194]-NRT-code) | [i] | ||
| 4 | Linear OOA(4260, 91, F4, 3, 192) (dual of [(91, 3), 13, 193]-NRT-code) | [i] | ||