Information on Result #1086691
Linear OOA(2209, 55, F2, 4, 136) (dual of [(55, 4), 11, 137]-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(2157, 42, F2, 4, 105) (dual of [(42, 4), 11, 106]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(273, 21, F2, 4, 52) (dual of [(21, 4), 11, 53]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,31P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21, using
- repeating each code word 2 times [i] based on linear OOA(273, 21, F2, 4, 52) (dual of [(21, 4), 11, 53]-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(2209, 55, F2, 4, 135) (dual of [(55, 4), 11, 136]-NRT-code) | [i] | Strength Reduction for OOAs | |