Information on Result #1088299
Linear OOA(271, 24, F2, 4, 42) (dual of [(24, 4), 25, 43]-NRT-code), using construction X applied to AG(4;F,33P) ⊂ AG(4;F,43P) based on
- linear OOA(261, 19, F2, 4, 42) (dual of [(19, 4), 15, 43]-NRT-code), using algebraic-geometric NRT-code AG(4;F,33P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, using
- linear OOA(251, 19, F2, 4, 32) (dual of [(19, 4), 25, 33]-NRT-code), using algebraic-geometric NRT-code AG(4;F,43P) [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(271, 24, F2, 4, 41) (dual of [(24, 4), 25, 42]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(271, 12, F2, 7, 42) (dual of [(12, 7), 13, 43]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(271, 12, F2, 8, 42) (dual of [(12, 8), 25, 43]-NRT-code) | [i] | ||