Information on Result #1163770
Linear OOA(2254, 61, F2, 7, 133) (dual of [(61, 7), 173, 134]-NRT-code), using construction X applied to AG(7;F,101P) ⊂ AG(7;F,122P) based on
- linear OOA(2202, 48, F2, 7, 133) (dual of [(48, 7), 134, 134]-NRT-code), using algebraic-geometric NRT-code AG(7;F,101P) 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(2160, 48, F2, 7, 91) (dual of [(48, 7), 176, 92]-NRT-code), using algebraic-geometric NRT-code AG(7;F,122P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(252, 13, F2, 7, 41) (dual of [(13, 7), 39, 42]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(252, 14, F2, 7, 41) (dual of [(14, 7), 46, 42]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,56P) [i] based on function field F/F2 with g(F) = 11 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(252, 14, F2, 7, 41) (dual of [(14, 7), 46, 42]-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(2254, 61, F2, 7, 132) (dual of [(61, 7), 173, 133]-NRT-code) | [i] | Strength Reduction for OOAs | |