Information on Result #1690310
Linear OOA(2258, 83, F2, 7, 123) (dual of [(83, 7), 323, 124]-NRT-code), using construction X applied to AG(7;F,429P) ⊂ AG(7;F,443P) based on
- linear OOA(2244, 79, F2, 7, 123) (dual of [(79, 7), 309, 124]-NRT-code), using algebraic-geometric NRT-code AG(7;F,429P) [i] based on function field F/F2 with g(F) = 121 and N(F) ≥ 80, using
- linear OOA(2230, 79, F2, 7, 109) (dual of [(79, 7), 323, 110]-NRT-code), using algebraic-geometric NRT-code AG(7;F,443P) [i] based on function field F/F2 with g(F) = 121 and N(F) ≥ 80 (see above)
- linear OOA(214, 4, F2, 7, 13) (dual of [(4, 7), 14, 14]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(214, 5, F2, 6, 13) (dual of [(5, 6), 16, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,16P) [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(214, 5, F2, 6, 13) (dual of [(5, 6), 16, 14]-NRT-code), using
Mode: 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(2258, 83, F2, 7, 122) (dual of [(83, 7), 323, 123]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2258, 83, F2, 7, 121) (dual of [(83, 7), 323, 122]-NRT-code) | [i] | ||
| 3 | Linear OOA(2258, 83, F2, 7, 120) (dual of [(83, 7), 323, 121]-NRT-code) | [i] | ||