Information on Result #1127227
Linear OOA(2123, 44, F2, 5, 64) (dual of [(44, 5), 97, 65]-NRT-code), using construction X applied to AG(5;F,24P) ⊂ AG(5;F,25P) based on
- linear OOA(2119, 42, F2, 5, 65) (dual of [(42, 5), 91, 66]-NRT-code), using algebraic-geometric NRT-code AG(5;F,24P) 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(2113, 42, F2, 5, 59) (dual of [(42, 5), 97, 60]-NRT-code), using algebraic-geometric NRT-code AG(5;F,25P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(24, 2, F2, 5, 4) (dual of [(2, 5), 6, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(5;6,2) [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(2123, 44, F2, 5, 63) (dual of [(44, 5), 97, 64]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2122, 43, F2, 5, 63) (dual of [(43, 5), 93, 64]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(2121, 43, F2, 5, 62) (dual of [(43, 5), 94, 63]-NRT-code) | [i] | ||
| 4 | Linear OOA(2120, 43, F2, 5, 61) (dual of [(43, 5), 95, 62]-NRT-code) | [i] | ||
| 5 | Linear OOA(2119, 43, F2, 5, 60) (dual of [(43, 5), 96, 61]-NRT-code) | [i] | ||
| 6 | Linear OOA(2120, 44, F2, 4, 61) (dual of [(44, 4), 56, 62]-NRT-code) | [i] | m-Reduction for OOAs | |
| 7 | Linear OOA(2119, 44, F2, 4, 60) (dual of [(44, 4), 57, 61]-NRT-code) | [i] | ||