Information on Result #2475968
Linear OOA(8147, 83, F8, 2, 115) (dual of [(83, 2), 19, 116]-NRT-code), using 2 step truncation based on linear OOA(8149, 84, F8, 2, 117) (dual of [(84, 2), 19, 118]-NRT-code), using
- construction X applied to AG(2;F,10P) ⊂ AG(2;F,32P) [i] 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(8109, 64, F8, 2, 95) (dual of [(64, 2), 19, 96]-NRT-code), using algebraic-geometric NRT-code AG(2;F,32P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(824, 20, F8, 2, 21) (dual of [(20, 2), 16, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(824, 24, F8, 2, 21) (dual of [(24, 2), 24, 22]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,26P) [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,26P) [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(824, 24, F8, 2, 21) (dual of [(24, 2), 24, 22]-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.