Information on Result #922753
Linear OOA(8101, 77, F8, 2, 74) (dual of [(77, 2), 53, 75]-NRT-code), using construction X applied to AG(2;F,53P) ⊂ AG(2;F,66P) based on
- linear OOA(888, 64, F8, 2, 74) (dual of [(64, 2), 40, 75]-NRT-code), using algebraic-geometric NRT-code AG(2;F,53P) [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(875, 64, F8, 2, 61) (dual of [(64, 2), 53, 62]-NRT-code), using algebraic-geometric NRT-code AG(2;F,66P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(813, 13, F8, 2, 12) (dual of [(13, 2), 13, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(813, 14, F8, 2, 12) (dual of [(14, 2), 15, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,15P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(813, 14, F8, 2, 12) (dual of [(14, 2), 15, 13]-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.