Information on Result #1027151
Linear OOA(4212, 74, F4, 3, 167) (dual of [(74, 3), 10, 168]-NRT-code), using juxtaposition based on
- linear OOA(450, 20, F4, 3, 43) (dual of [(20, 3), 10, 44]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(450, 21, F4, 3, 43) (dual of [(21, 3), 13, 44]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,19P) [i] based on function field F/F4 with g(F) = 7 and N(F) ≥ 21, using
- discarding factors / shortening the dual code based on linear OOA(450, 21, F4, 3, 43) (dual of [(21, 3), 13, 44]-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(4212, 74, F4, 3, 166) (dual of [(74, 3), 10, 167]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4212, 74, F4, 3, 165) (dual of [(74, 3), 10, 166]-NRT-code) | [i] | ||
| 3 | Linear OOA(4212, 74, F4, 3, 164) (dual of [(74, 3), 10, 165]-NRT-code) | [i] | ||
| 4 | Linear OOA(4212, 74, F4, 3, 163) (dual of [(74, 3), 10, 164]-NRT-code) | [i] | ||
| 5 | Linear OOA(4212, 74, F4, 3, 162) (dual of [(74, 3), 10, 163]-NRT-code) | [i] | ||