Information on Result #1088301
Linear OOA(269, 24, F2, 4, 40) (dual of [(24, 4), 27, 41]-NRT-code), using construction X applied to AG(4;F,35P) ⊂ AG(4;F,45P) based on
- linear OOA(259, 19, F2, 4, 40) (dual of [(19, 4), 17, 41]-NRT-code), using algebraic-geometric NRT-code AG(4;F,35P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, using
- linear OOA(249, 19, F2, 4, 30) (dual of [(19, 4), 27, 31]-NRT-code), using algebraic-geometric NRT-code AG(4;F,45P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20 (see above)
- linear OOA(210, 5, F2, 4, 9) (dual of [(5, 4), 10, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,10P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, 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(269, 24, F2, 4, 39) (dual of [(24, 4), 27, 40]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2197, 55, F2, 4, 107) (dual of [(55, 4), 23, 108]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 3 | Linear OOA(2201, 56, F2, 4, 111) (dual of [(56, 4), 23, 112]-NRT-code) | [i] | ||
| 4 | Linear OOA(269, 12, F2, 7, 40) (dual of [(12, 7), 15, 41]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(269, 12, F2, 8, 40) (dual of [(12, 8), 27, 41]-NRT-code) | [i] | ||