Information on Result #1122633
Linear OOA(2257, 56, F2, 5, 169) (dual of [(56, 5), 23, 170]-NRT-code), using construction X applied to AG(5;F,0P) ⊂ AG(5;F,76P) based on
- linear OOA(2204, 41, F2, 5, 204) (dual of [(41, 5), 1, 205]-NRT-code), using algebraic-geometric NRT-code AG(5;F,0P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
- linear OOA(2182, 41, F2, 5, 128) (dual of [(41, 5), 23, 129]-NRT-code), using algebraic-geometric NRT-code AG(5;F,76P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(253, 15, F2, 5, 40) (dual of [(15, 5), 22, 41]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,34P) [i] based on function field F/F2 with g(F) = 13 and N(F) ≥ 15, 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(2257, 56, F2, 5, 168) (dual of [(56, 5), 23, 169]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2257, 56, F2, 5, 167) (dual of [(56, 5), 23, 168]-NRT-code) | [i] | ||
| 3 | Linear OOA(2257, 56, F2, 5, 166) (dual of [(56, 5), 23, 167]-NRT-code) | [i] | ||