Information on Result #1032317
Linear OOA(498, 39, F4, 3, 72) (dual of [(39, 3), 19, 73]-NRT-code), using construction X applied to AG(3;F,23P) ⊂ AG(3;F,34P) based on
- linear OOA(487, 32, F4, 3, 72) (dual of [(32, 3), 9, 73]-NRT-code), using algebraic-geometric NRT-code AG(3;F,23P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- linear OOA(476, 32, F4, 3, 61) (dual of [(32, 3), 20, 62]-NRT-code), using algebraic-geometric NRT-code AG(3;F,34P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33 (see above)
- linear OOA(411, 7, F4, 3, 10) (dual of [(7, 3), 10, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(411, 9, F4, 3, 10) (dual of [(9, 3), 16, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,16P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- extended algebraic-geometric NRT-code AGe(3;F,16P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- discarding factors / shortening the dual code based on linear OOA(411, 9, F4, 3, 10) (dual of [(9, 3), 16, 11]-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
None.