Information on Result #2450935
Linear OOA(8159, 83, F8, 2, 137) (dual of [(83, 2), 7, 138]-NRT-code), using strength reduction based on linear OOA(8159, 83, F8, 2, 138) (dual of [(83, 2), 7, 139]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(829, 18, F8, 2, 26) (dual of [(18, 2), 7, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(829, 24, F8, 2, 26) (dual of [(24, 2), 19, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,21P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- extended algebraic-geometric NRT-code AGe(2;F,21P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OOA(829, 24, F8, 2, 26) (dual of [(24, 2), 19, 27]-NRT-code), using
- linear OOA(8123, 65, F8, 2, 111) (dual of [(65, 2), 7, 112]-NRT-code), using
- standard lengthening with (d0,…,d1) = (110,111) [i] based on linear OOA(8121, 64, F8, 2, 109) (dual of [(64, 2), 7, 110]-NRT-code), using algebraic-geometric NRT-code AG(2;F,18P) 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(829, 18, F8, 2, 26) (dual of [(18, 2), 7, 27]-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.