Information on Result #1127667
Linear OOA(2159, 53, F2, 5, 76) (dual of [(53, 5), 106, 77]-NRT-code), using construction X applied to AG(5;F,81P) ⊂ AG(5;F,88P) based on
- linear OOA(2146, 48, F2, 5, 77) (dual of [(48, 5), 94, 78]-NRT-code), using algebraic-geometric NRT-code AG(5;F,81P) 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(213, 5, F2, 5, 12) (dual of [(5, 5), 12, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,12P) [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(2159, 53, F2, 5, 75) (dual of [(53, 5), 106, 76]-NRT-code) | [i] | Strength Reduction for OOAs | |