Information on Result #1036085
Linear OOA(4257, 115, F4, 3, 165) (dual of [(115, 3), 88, 166]-NRT-code), using construction X applied to AG(3;F,143P) ⊂ AG(3;F,160P) based on
- linear OOA(4238, 103, F4, 3, 165) (dual of [(103, 3), 71, 166]-NRT-code), using algebraic-geometric NRT-code AG(3;F,143P) [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, using
- F6 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- linear OOA(4221, 103, F4, 3, 148) (dual of [(103, 3), 88, 149]-NRT-code), using algebraic-geometric NRT-code AG(3;F,160P) [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104 (see above)
- linear OOA(419, 12, F4, 3, 16) (dual of [(12, 3), 17, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(419, 14, F4, 3, 16) (dual of [(14, 3), 23, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,25P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(419, 14, F4, 3, 16) (dual of [(14, 3), 23, 17]-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, 115, F4, 3, 164) (dual of [(115, 3), 88, 165]-NRT-code) | [i] | Strength Reduction for OOAs | |