Information on Result #1088702
Linear OOA(2122, 38, F2, 4, 70) (dual of [(38, 4), 30, 71]-NRT-code), using construction X applied to AG(4;F,57P) ⊂ AG(4;F,69P) based on
- linear OOA(2109, 32, F2, 4, 70) (dual of [(32, 4), 19, 71]-NRT-code), using algebraic-geometric NRT-code AG(4;F,57P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
- linear OOA(297, 32, F2, 4, 58) (dual of [(32, 4), 31, 59]-NRT-code), using algebraic-geometric NRT-code AG(4;F,69P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33 (see above)
- linear OOA(213, 6, F2, 4, 11) (dual of [(6, 4), 11, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,12P) [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(2122, 38, F2, 4, 69) (dual of [(38, 4), 30, 70]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2122, 19, F2, 7, 70) (dual of [(19, 7), 11, 71]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2122, 19, F2, 8, 70) (dual of [(19, 8), 30, 71]-NRT-code) | [i] | ||