Information on Result #1724674
Digital (7, 13, 102)-net over F7, using net defined by OOA based on linear OOA(713, 102, F7, 9, 6) (dual of [(102, 9), 905, 7]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(713, 103, F7, 3, 6) (dual of [(103, 3), 296, 7]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(713, 103, F7, 6) (dual of [103, 90, 7]-code), using
- 2 step Varšamov–Edel lengthening with (ri) = (1, 0) [i] based on linear OA(712, 100, F7, 6) (dual of [100, 88, 7]-code), using
- trace code [i] based on linear OA(496, 50, F49, 6) (dual of [50, 44, 7]-code or 50-arc in PG(5,49)), using
- extended Reed–Solomon code RSe(44,49) [i]
- algebraic-geometric code AG(F, Q+20P) with degQ = 3 and degPÂ =Â 2 [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50, using the rational function field F49(x) [i]
- algebraic-geometric code AG(F, Q+13P) with degQ = 4 and degPÂ =Â 3 [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50 (see above)
- algebraic-geometric code AG(F, Q+8P) with degQ = 3 and degPÂ =Â 5 [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50 (see above)
- trace code [i] based on linear OA(496, 50, F49, 6) (dual of [50, 44, 7]-code or 50-arc in PG(5,49)), using
- 2 step Varšamov–Edel lengthening with (ri) = (1, 0) [i] based on linear OA(712, 100, F7, 6) (dual of [100, 88, 7]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(713, 103, F7, 6) (dual of [103, 90, 7]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.