Information on Result #2914553
Linear OOA(2232, 65, F2, 6, 104) (dual of [(65, 6), 158, 105]-NRT-code), using strength reduction based on linear OOA(2232, 65, F2, 6, 105) (dual of [(65, 6), 158, 106]-NRT-code), using
- construction X applied to AG(6;F,91P) ⊂ AG(6;F,113P) [i] based on
- linear OOA(2174, 48, F2, 6, 105) (dual of [(48, 6), 114, 106]-NRT-code), using algebraic-geometric NRT-code AG(6;F,91P) 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(2130, 48, F2, 6, 61) (dual of [(48, 6), 158, 62]-NRT-code), using algebraic-geometric NRT-code AG(6;F,113P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(258, 17, F2, 6, 43) (dual of [(17, 6), 44, 44]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,58P) [i] based on function field F/F2 with g(F) = 15 and N(F) ≥ 17, 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(2233, 65, F2, 6, 104) (dual of [(65, 6), 157, 105]-NRT-code) | [i] | OOA Duplication | |