Information on Result #1128445
Linear OOA(2214, 64, F2, 5, 97) (dual of [(64, 5), 106, 98]-NRT-code), using construction X applied to AG(5;F,71P) ⊂ AG(5;F,88P) based on
- linear OOA(2166, 48, F2, 5, 97) (dual of [(48, 5), 74, 98]-NRT-code), using algebraic-geometric NRT-code AG(5;F,71P) 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(248, 16, F2, 5, 33) (dual of [(16, 5), 32, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(248, 17, F2, 5, 33) (dual of [(17, 5), 37, 34]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,51P) [i] based on function field F/F2 with g(F) = 15 and N(F) ≥ 17, using
- discarding factors / shortening the dual code based on linear OOA(248, 17, F2, 5, 33) (dual of [(17, 5), 37, 34]-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(2214, 64, F2, 5, 96) (dual of [(64, 5), 106, 97]-NRT-code) | [i] | Strength Reduction for OOAs | |