Information on Result #600051
Function Field F/F25 with g(F) = 0 and N(F) ≥ 26, using the rational function field F25(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, 25)-sequence over F25 | [i] | Niederreiter–Xing Sequence Construction II/III | |
| 2 | Linear OA(2523, 26, F25, 23) (dual of [26, 3, 24]-code or 26-arc in PG(22,25)) | [i] | ✔ | Algebraic-Geometric Codes Defined Using a Non-Rational Place |
| 3 | Linear OA(2521, 26, F25, 21) (dual of [26, 5, 22]-code or 26-arc in PG(20,25)) | [i] | ✔ | |
| 4 | Linear OA(2519, 26, F25, 19) (dual of [26, 7, 20]-code or 26-arc in PG(18,25)) | [i] | ✔ | |
| 5 | Linear OA(2517, 26, F25, 17) (dual of [26, 9, 18]-code or 26-arc in PG(16,25)) | [i] | ✔ | |
| 6 | Linear OA(2515, 26, F25, 15) (dual of [26, 11, 16]-code or 26-arc in PG(14,25)) | [i] | ✔ | |
| 7 | Linear OA(2513, 26, F25, 13) (dual of [26, 13, 14]-code or 26-arc in PG(12,25)) | [i] | ✔ | |
| 8 | Linear OA(2511, 26, F25, 11) (dual of [26, 15, 12]-code or 26-arc in PG(10,25)) | [i] | ✔ | |
| 9 | Linear OA(259, 26, F25, 9) (dual of [26, 17, 10]-code or 26-arc in PG(8,25)) | [i] | ✔ | |
| 10 | Linear OA(257, 26, F25, 7) (dual of [26, 19, 8]-code or 26-arc in PG(6,25)) | [i] | ✔ | |
| 11 | Linear OA(255, 26, F25, 5) (dual of [26, 21, 6]-code or 26-arc in PG(4,25)) | [i] | ✔ | |
| 12 | Linear OA(2525, 26, F25, 25) (dual of [26, 1, 26]-code or 26-arc in PG(24,25)) | [i] | ✔ | |
| 13 | Linear OA(2522, 26, F25, 22) (dual of [26, 4, 23]-code or 26-arc in PG(21,25)) | [i] | ✔ | |
| 14 | Linear OA(2520, 26, F25, 20) (dual of [26, 6, 21]-code or 26-arc in PG(19,25)) | [i] | ✔ | |
| 15 | Linear OA(2518, 26, F25, 18) (dual of [26, 8, 19]-code or 26-arc in PG(17,25)) | [i] | ✔ | |
| 16 | Linear OA(2516, 26, F25, 16) (dual of [26, 10, 17]-code or 26-arc in PG(15,25)) | [i] | ✔ | |
| 17 | Linear OA(2514, 26, F25, 14) (dual of [26, 12, 15]-code or 26-arc in PG(13,25)) | [i] | ✔ | |
| 18 | Linear OA(2512, 26, F25, 12) (dual of [26, 14, 13]-code or 26-arc in PG(11,25)) | [i] | ✔ | |
| 19 | Linear OA(2510, 26, F25, 10) (dual of [26, 16, 11]-code or 26-arc in PG(9,25)) | [i] | ✔ | |
| 20 | Linear OA(258, 26, F25, 8) (dual of [26, 18, 9]-code or 26-arc in PG(7,25)) | [i] | ✔ | |
| 21 | Linear OA(256, 26, F25, 6) (dual of [26, 20, 7]-code or 26-arc in PG(5,25)) | [i] | ✔ | |
| 22 | Linear OA(254, 26, F25, 4) (dual of [26, 22, 5]-code or 26-arc in PG(3,25)) | [i] | ✔ | |
| 23 | Linear OA(252, 26, F25, 2) (dual of [26, 24, 3]-code or 26-arc in PG(1,25)) | [i] | ✔ | |
| 24 | Linear OA(2522, 26, F25, 22) (dual of [26, 4, 23]-code or 26-arc in PG(21,25)) | [i] | ✔ | |
| 25 | Linear OA(2519, 26, F25, 19) (dual of [26, 7, 20]-code or 26-arc in PG(18,25)) | [i] | ✔ | |
| 26 | Linear OA(2516, 26, F25, 16) (dual of [26, 10, 17]-code or 26-arc in PG(15,25)) | [i] | ✔ | |
| 27 | Linear OA(2513, 26, F25, 13) (dual of [26, 13, 14]-code or 26-arc in PG(12,25)) | [i] | ✔ | |
| 28 | Linear OA(2510, 26, F25, 10) (dual of [26, 16, 11]-code or 26-arc in PG(9,25)) | [i] | ✔ | |
| 29 | Linear OA(257, 26, F25, 7) (dual of [26, 19, 8]-code or 26-arc in PG(6,25)) | [i] | ✔ | |
| 30 | Linear OA(254, 26, F25, 4) (dual of [26, 22, 5]-code or 26-arc in PG(3,25)) | [i] | ✔ | |
| 31 | Linear OA(2523, 26, F25, 23) (dual of [26, 3, 24]-code or 26-arc in PG(22,25)) | [i] | ✔ | |
| 32 | Linear OA(2520, 26, F25, 20) (dual of [26, 6, 21]-code or 26-arc in PG(19,25)) | [i] | ✔ | |
| 33 | Linear OA(2517, 26, F25, 17) (dual of [26, 9, 18]-code or 26-arc in PG(16,25)) | [i] | ✔ | |
| 34 | Linear OA(2514, 26, F25, 14) (dual of [26, 12, 15]-code or 26-arc in PG(13,25)) | [i] | ✔ | |
| 35 | Linear OA(2511, 26, F25, 11) (dual of [26, 15, 12]-code or 26-arc in PG(10,25)) | [i] | ✔ | |
| 36 | Linear OA(258, 26, F25, 8) (dual of [26, 18, 9]-code or 26-arc in PG(7,25)) | [i] | ✔ | |
| 37 | Linear OA(255, 26, F25, 5) (dual of [26, 21, 6]-code or 26-arc in PG(4,25)) | [i] | ✔ | |
| 38 | Linear OA(2521, 26, F25, 21) (dual of [26, 5, 22]-code or 26-arc in PG(20,25)) | [i] | ✔ | |
| 39 | Linear OA(2518, 26, F25, 18) (dual of [26, 8, 19]-code or 26-arc in PG(17,25)) | [i] | ✔ | |
| 40 | Linear OA(2515, 26, F25, 15) (dual of [26, 11, 16]-code or 26-arc in PG(14,25)) | [i] | ✔ | |
| 41 | Linear OA(2512, 26, F25, 12) (dual of [26, 14, 13]-code or 26-arc in PG(11,25)) | [i] | ✔ | |
| 42 | Linear OA(259, 26, F25, 9) (dual of [26, 17, 10]-code or 26-arc in PG(8,25)) | [i] | ✔ | |
| 43 | Linear OA(256, 26, F25, 6) (dual of [26, 20, 7]-code or 26-arc in PG(5,25)) | [i] | ✔ | |
| 44 | Linear OA(253, 26, F25, 3) (dual of [26, 23, 4]-code or 26-arc in PG(2,25) or 26-cap in PG(2,25)) | [i] | ✔ | |