Information on Result #1037539
Linear OOA(4257, 147, F4, 3, 122) (dual of [(147, 3), 184, 123]-NRT-code), using construction X applied to AG(3;F,264P) ⊂ AG(3;F,288P) based on
- linear OOA(4227, 129, F4, 3, 122) (dual of [(129, 3), 160, 123]-NRT-code), using algebraic-geometric NRT-code AG(3;F,264P) [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130, using
- T7 from the second tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- linear OOA(4203, 129, F4, 3, 98) (dual of [(129, 3), 184, 99]-NRT-code), using algebraic-geometric NRT-code AG(3;F,288P) [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130 (see above)
- linear OOA(430, 18, F4, 3, 23) (dual of [(18, 3), 24, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(430, 21, F4, 3, 23) (dual of [(21, 3), 33, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,39P) [i] based on function field F/F4 with g(F) = 7 and N(F) ≥ 21, using
- discarding factors / shortening the dual code based on linear OOA(430, 21, F4, 3, 23) (dual of [(21, 3), 33, 24]-NRT-code), 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(4257, 147, F4, 3, 121) (dual of [(147, 3), 184, 122]-NRT-code) | [i] | Strength Reduction for OOAs | |