Information on Result #1092500
Linear OOA(12857, 291, F128, 4, 40) (dual of [(291, 4), 1107, 41]-NRT-code), using construction X applied to AG(4;F,1107P) ⊂ AG(4;F,1116P) based on
- linear OOA(12849, 287, F128, 4, 40) (dual of [(287, 4), 1099, 41]-NRT-code), using algebraic-geometric NRT-code AG(4;F,1107P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OOA(12840, 287, F128, 4, 31) (dual of [(287, 4), 1108, 32]-NRT-code), using algebraic-geometric NRT-code AG(4;F,1116P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OOA(1288, 4, F128, 4, 8) (dual of [(4, 4), 8, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1288, 128, F128, 4, 8) (dual of [(128, 4), 504, 9]-NRT-code), using
- Reed–Solomon NRT-code RS(4;504,128) [i]
- discarding factors / shortening the dual code based on linear OOA(1288, 128, F128, 4, 8) (dual of [(128, 4), 504, 9]-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(12857, 291, F128, 4, 39) (dual of [(291, 4), 1107, 40]-NRT-code) | [i] | Strength Reduction for OOAs | |