Information on Result #1163234
Linear OOA(2170, 53, F2, 7, 83) (dual of [(53, 7), 201, 84]-NRT-code), using construction X applied to AG(7;F,126P) ⊂ AG(7;F,135P) based on
- linear OOA(2152, 48, F2, 7, 83) (dual of [(48, 7), 184, 84]-NRT-code), using algebraic-geometric NRT-code AG(7;F,126P) 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(2134, 48, F2, 7, 65) (dual of [(48, 7), 202, 66]-NRT-code), using algebraic-geometric NRT-code AG(7;F,135P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(218, 5, F2, 7, 17) (dual of [(5, 7), 17, 18]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,17P) [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(2170, 53, F2, 7, 82) (dual of [(53, 7), 201, 83]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2170, 53, F2, 7, 81) (dual of [(53, 7), 201, 82]-NRT-code) | [i] | ||