Information on Result #1088288
Linear OOA(282, 24, F2, 4, 53) (dual of [(24, 4), 14, 54]-NRT-code), using construction X applied to AG(4;F,22P) ⊂ AG(4;F,32P) based on
- linear OOA(272, 19, F2, 4, 53) (dual of [(19, 4), 4, 54]-NRT-code), using algebraic-geometric NRT-code AG(4;F,22P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, using
- linear OOA(262, 19, F2, 4, 43) (dual of [(19, 4), 14, 44]-NRT-code), using algebraic-geometric NRT-code AG(4;F,32P) [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(282, 24, F2, 4, 52) (dual of [(24, 4), 14, 53]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(282, 12, F2, 8, 53) (dual of [(12, 8), 14, 54]-NRT-code) | [i] | OOA Folding | |