Information on Result #918718
Linear OOA(470, 39, F4, 2, 51) (dual of [(39, 2), 8, 52]-NRT-code), using construction X applied to AG(2;F,0P) ⊂ AG(2;F,17P) based on
- linear OOA(451, 26, F4, 2, 51) (dual of [(26, 2), 1, 52]-NRT-code), using algebraic-geometric NRT-code AG(2;F,0P) [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, using
- linear OOA(444, 26, F4, 2, 34) (dual of [(26, 2), 8, 35]-NRT-code), using algebraic-geometric NRT-code AG(2;F,17P) [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27 (see above)
- linear OOA(419, 13, F4, 2, 16) (dual of [(13, 2), 7, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(419, 14, F4, 2, 16) (dual of [(14, 2), 9, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,11P) [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, 2, 16) (dual of [(14, 2), 9, 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(466, 37, F4, 2, 47) (dual of [(37, 2), 8, 48]-NRT-code) | [i] | Truncation for OOAs | |