Information on Result #938246
Linear OOA(8144, 80, F8, 2, 116) (dual of [(80, 2), 16, 117]-NRT-code), using construction X applied to AG(2;F,10P) ⊂ AG(2;F,29P) based on
- linear OOA(8125, 64, F8, 2, 117) (dual of [(64, 2), 3, 118]-NRT-code), using algebraic-geometric NRT-code AG(2;F,10P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using the Suzuki function field over F8 [i]
- linear OOA(8112, 64, F8, 2, 98) (dual of [(64, 2), 16, 99]-NRT-code), using algebraic-geometric NRT-code AG(2;F,29P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(819, 16, F8, 2, 17) (dual of [(16, 2), 13, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(819, 17, F8, 2, 17) (dual of [(17, 2), 15, 18]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,16P) [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, using
- discarding factors / shortening the dual code based on linear OOA(819, 17, F8, 2, 17) (dual of [(17, 2), 15, 18]-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.