Information on Result #1027134
Linear OOA(4191, 67, F4, 3, 150) (dual of [(67, 3), 10, 151]-NRT-code), using juxtaposition based on
- linear OOA(429, 13, F4, 3, 26) (dual of [(13, 3), 10, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(429, 14, F4, 3, 26) (dual of [(14, 3), 13, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,15P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(429, 14, F4, 3, 26) (dual of [(14, 3), 13, 27]-NRT-code), using
- linear OOA(4152, 54, F4, 3, 123) (dual of [(54, 3), 10, 124]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(471, 27, F4, 3, 61) (dual of [(27, 3), 10, 62]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,19P) [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, using
- repeating each code word 2 times [i] based on linear OOA(471, 27, F4, 3, 61) (dual of [(27, 3), 10, 62]-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(4191, 67, F4, 3, 149) (dual of [(67, 3), 10, 150]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4191, 67, F4, 3, 148) (dual of [(67, 3), 10, 149]-NRT-code) | [i] | ||
| 3 | Linear OOA(4191, 67, F4, 3, 147) (dual of [(67, 3), 10, 148]-NRT-code) | [i] | ||
| 4 | Linear OOA(4191, 67, F4, 3, 146) (dual of [(67, 3), 10, 147]-NRT-code) | [i] | ||