Information on Result #1313593
Linear OA(1621, 940, F16, 8) (dual of [940, 919, 9]-code), using 421 step Varšamov–Edel lengthening with (ri) = (2, 7 times 0, 1, 36 times 0, 1, 115 times 0, 1, 259 times 0) based on linear OA(1616, 514, F16, 8) (dual of [514, 498, 9]-code), using
- trace code [i] based on linear OA(2568, 257, F256, 8) (dual of [257, 249, 9]-code or 257-arc in PG(7,256)), using
- extended Reed–Solomon code RSe(249,256) [i]
- algebraic-geometric code AG(F,124P) with degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using the rational function field F256(x) [i]
- algebraic-geometric code AG(F, Q+82P) with degQ = 2 and degPÂ =Â 3 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- algebraic-geometric code AG(F, Q+49P) with degQ = 3 and degPÂ =Â 5 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
Mode: 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(1621, 940, F16, 2, 8) (dual of [(940, 2), 1859, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (13, 21, 940)-net over F16 | [i] | ||