Information on Result #1041429
Linear OOA(8172, 77, F8, 3, 138) (dual of [(77, 3), 59, 139]-NRT-code), using construction X applied to AG(3;F,53P) ⊂ AG(3;F,73P) based on
- linear OOA(8152, 64, F8, 3, 138) (dual of [(64, 3), 40, 139]-NRT-code), using algebraic-geometric NRT-code AG(3;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(8132, 64, F8, 3, 118) (dual of [(64, 3), 60, 119]-NRT-code), using algebraic-geometric NRT-code AG(3;F,73P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(820, 13, F8, 3, 19) (dual of [(13, 3), 19, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(820, 14, F8, 3, 19) (dual of [(14, 3), 22, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,22P) [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(820, 14, F8, 3, 19) (dual of [(14, 3), 22, 20]-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.