Information on Result #1161661
Linear OOA(2161, 25, F2, 7, 128) (dual of [(25, 7), 14, 129]-NRT-code), using construction X applied to AG(7;F,0P) ⊂ AG(7;F,32P) based on
- linear OOA(2132, 19, F2, 7, 132) (dual of [(19, 7), 1, 133]-NRT-code), using algebraic-geometric NRT-code AG(7;F,0P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, using
- linear OOA(2119, 19, F2, 7, 100) (dual of [(19, 7), 14, 101]-NRT-code), using algebraic-geometric NRT-code AG(7;F,32P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20 (see above)
- linear OOA(229, 6, F2, 7, 27) (dual of [(6, 7), 13, 28]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,14P) [i] based on function field F/F2 with g(F) = 2 and N(F) ≥ 6, 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(2161, 25, F2, 7, 127) (dual of [(25, 7), 14, 128]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2161, 25, F2, 7, 126) (dual of [(25, 7), 14, 127]-NRT-code) | [i] | ||
| 3 | Linear OOA(2161, 25, F2, 7, 125) (dual of [(25, 7), 14, 126]-NRT-code) | [i] | ||
| 4 | Linear OOA(2161, 25, F2, 7, 124) (dual of [(25, 7), 14, 125]-NRT-code) | [i] | ||
| 5 | Linear OOA(2161, 25, F2, 7, 123) (dual of [(25, 7), 14, 124]-NRT-code) | [i] | ||