Information on Result #1162980
Linear OOA(2172, 45, F2, 7, 107) (dual of [(45, 7), 143, 108]-NRT-code), using construction X applied to AG(7;F,31P) ⊂ AG(7;F,33P) based on
- linear OOA(2161, 42, F2, 7, 107) (dual of [(42, 7), 133, 108]-NRT-code), using algebraic-geometric NRT-code AG(7;F,31P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
- linear OOA(2149, 42, F2, 7, 95) (dual of [(42, 7), 145, 96]-NRT-code), using algebraic-geometric NRT-code AG(7;F,33P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(211, 3, F2, 7, 11) (dual of [(3, 7), 10, 12]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(7;10,2) [i]
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(2172, 45, F2, 7, 106) (dual of [(45, 7), 143, 107]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2172, 45, F2, 7, 105) (dual of [(45, 7), 143, 106]-NRT-code) | [i] | ||
| 3 | Linear OOA(2173, 45, F2, 7, 107) (dual of [(45, 7), 142, 108]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2174, 45, F2, 7, 107) (dual of [(45, 7), 141, 108]-NRT-code) | [i] | ||