Information on Result #1086690
Linear OOA(2201, 53, F2, 4, 132) (dual of [(53, 4), 11, 133]-NRT-code), using juxtaposition based on
- linear OOA(241, 13, F2, 4, 30) (dual of [(13, 4), 11, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(241, 14, F2, 4, 30) (dual of [(14, 4), 15, 31]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,25P) [i] based on function field F/F2 with g(F) = 11 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(241, 14, F2, 4, 30) (dual of [(14, 4), 15, 31]-NRT-code), using
- linear OOA(2149, 40, F2, 4, 101) (dual of [(40, 4), 11, 102]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(269, 20, F2, 4, 50) (dual of [(20, 4), 11, 51]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,29P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, using
- repeating each code word 2 times [i] based on linear OOA(269, 20, F2, 4, 50) (dual of [(20, 4), 11, 51]-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(2201, 53, F2, 4, 131) (dual of [(53, 4), 11, 132]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2257, 67, F2, 4, 167) (dual of [(67, 4), 11, 168]-NRT-code) | [i] | Juxtaposition for OOAs | |