Information on Result #600047
Function Field F/F7 with g(F) = 0 and N(F) ≥ 8, using the rational function field F7(x)
Mode: Constructive and linear.
Optimality
Compare with manYPoints (online database of function field parameters).
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (0, 7)-sequence over F7 | [i] | Niederreiter–Xing Sequence Construction II/III | |
| 2 | Linear OA(74, 8, F7, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,7)) | [i] | ✔ | Algebraic-Geometric Codes Defined Using a Non-Rational Place |
| 3 | Linear OA(72, 8, F7, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,7)) | [i] | ✔ | |