Information on Result #2450885
Linear OOA(8157, 84, F8, 2, 130) (dual of [(84, 2), 11, 131]-NRT-code), using strength reduction based on linear OOA(8157, 84, F8, 2, 131) (dual of [(84, 2), 11, 132]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(827, 19, F8, 2, 24) (dual of [(19, 2), 11, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(827, 24, F8, 2, 24) (dual of [(24, 2), 21, 25]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,23P) [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,23P) [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(827, 24, F8, 2, 24) (dual of [(24, 2), 21, 25]-NRT-code), using
- linear OOA(8119, 65, F8, 2, 106) (dual of [(65, 2), 11, 107]-NRT-code), using
- standard lengthening with (d0,…,d1) = (105,106) [i] based on linear OOA(8117, 64, F8, 2, 104) (dual of [(64, 2), 11, 105]-NRT-code), using algebraic-geometric NRT-code AG(2;F,23P) 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(827, 19, F8, 2, 24) (dual of [(19, 2), 11, 25]-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.