Information on Result #1724673
Linear OOA(713, 102, F7, 9, 6) (dual of [(102, 9), 905, 7]-NRT-code), using OOA stacking with additional row 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
Mode: Linear.
Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (7, 13, 102)-net over F7 | [i] | Net Defined by OOA | |