Information on Result #1088268
Linear OOA(259, 23, F2, 4, 32) (dual of [(23, 4), 33, 33]-NRT-code), using construction X applied to AG(4;F,43P) ⊂ AG(4;F,51P) based on
- 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, using
- linear OOA(243, 19, F2, 4, 24) (dual of [(19, 4), 33, 25]-NRT-code), using algebraic-geometric NRT-code AG(4;F,51P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20 (see above)
- linear OOA(28, 4, F2, 4, 7) (dual of [(4, 4), 8, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(28, 5, F2, 3, 7) (dual of [(5, 3), 7, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,7P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- OOA stacking with additional row [i] based on linear OOA(28, 5, F2, 3, 7) (dual of [(5, 3), 7, 8]-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(259, 23, F2, 4, 31) (dual of [(23, 4), 33, 32]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2201, 64, F2, 4, 88) (dual of [(64, 4), 55, 89]-NRT-code) | [i] | Construction X with Algebraic-Geometric NRT-Codes | |
| 3 | Linear OOA(2200, 64, F2, 4, 87) (dual of [(64, 4), 56, 88]-NRT-code) | [i] | ||
| 4 | Linear OOA(2199, 64, F2, 4, 86) (dual of [(64, 4), 57, 87]-NRT-code) | [i] | ||
| 5 | Linear OOA(2198, 64, F2, 4, 85) (dual of [(64, 4), 58, 86]-NRT-code) | [i] | ||
| 6 | Linear OOA(2197, 64, F2, 4, 84) (dual of [(64, 4), 59, 85]-NRT-code) | [i] | ||