Information on Result #1128162
Linear OOA(2187, 59, F2, 5, 87) (dual of [(59, 5), 108, 88]-NRT-code), using construction X applied to AG(5;F,76P) ⊂ AG(5;F,88P) based on
- linear OOA(2156, 48, F2, 5, 87) (dual of [(48, 5), 84, 88]-NRT-code), using algebraic-geometric NRT-code AG(5;F,76P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
- linear OOA(2132, 48, F2, 5, 63) (dual of [(48, 5), 108, 64]-NRT-code), using algebraic-geometric NRT-code AG(5;F,88P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(231, 11, F2, 5, 23) (dual of [(11, 5), 24, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,31P) [i] based on function field F/F2 with g(F) = 8 and N(F) ≥ 11, 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(2187, 59, F2, 5, 86) (dual of [(59, 5), 108, 87]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2187, 59, F2, 5, 85) (dual of [(59, 5), 108, 86]-NRT-code) | [i] | ||
| 3 | Linear OOA(2188, 59, F2, 5, 87) (dual of [(59, 5), 107, 88]-NRT-code) | [i] | OOA Duplication | |