Information on Result #930673
Linear OOA(16118, 93, F16, 2, 82) (dual of [(93, 2), 68, 83]-NRT-code), using construction X applied to AG(2;F,45P) ⊂ AG(2;F,74P) based on
- linear OOA(1688, 64, F16, 2, 82) (dual of [(64, 2), 40, 83]-NRT-code), using algebraic-geometric NRT-code AG(2;F,45P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- linear OOA(1659, 64, F16, 2, 53) (dual of [(64, 2), 69, 54]-NRT-code), using algebraic-geometric NRT-code AG(2;F,74P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OOA(1630, 29, F16, 2, 28) (dual of [(29, 2), 28, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1630, 33, F16, 2, 28) (dual of [(33, 2), 36, 29]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,37P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OOA(1630, 33, F16, 2, 28) (dual of [(33, 2), 36, 29]-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.