Information on Result #600084
Function Field F/F81 with g(F) = 36 and N(F) ≥ 730, using the Hermitian function field over F81
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 (36, 729)-sequence over F81 | [i] | Niederreiter–Xing Sequence Construction II/III | |
| 2 | Linear OA(8178, 730, F81, 42) (dual of [730, 652, 43]-code) | [i] | Extended Algebraic-Geometric Codes | |
| 3 | Linear OA(8179, 730, F81, 43) (dual of [730, 651, 44]-code) | [i] | ||
| 4 | Linear OA(8180, 730, F81, 44) (dual of [730, 650, 45]-code) | [i] | ||
| 5 | Linear OA(8181, 730, F81, 45) (dual of [730, 649, 46]-code) | [i] | ||
| 6 | Linear OA(8182, 730, F81, 46) (dual of [730, 648, 47]-code) | [i] | ||
| 7 | Linear OOA(8174, 730, F81, 2, 38) (dual of [(730, 2), 1386, 39]-NRT-code) | [i] | Extended Algebraic-Geometric NRT-Codes | |
| 8 | Linear OOA(8175, 730, F81, 2, 39) (dual of [(730, 2), 1385, 40]-NRT-code) | [i] | ||
| 9 | Linear OOA(8176, 730, F81, 2, 40) (dual of [(730, 2), 1384, 41]-NRT-code) | [i] | ||
| 10 | Linear OOA(8177, 730, F81, 2, 41) (dual of [(730, 2), 1383, 42]-NRT-code) | [i] | ||
| 11 | Linear OOA(8178, 730, F81, 2, 42) (dual of [(730, 2), 1382, 43]-NRT-code) | [i] | ||
| 12 | Linear OOA(8179, 730, F81, 2, 43) (dual of [(730, 2), 1381, 44]-NRT-code) | [i] | ||
| 13 | Linear OOA(8180, 730, F81, 2, 44) (dual of [(730, 2), 1380, 45]-NRT-code) | [i] | ||
| 14 | Linear OOA(8181, 730, F81, 2, 45) (dual of [(730, 2), 1379, 46]-NRT-code) | [i] | ||
| 15 | Linear OOA(8182, 730, F81, 2, 46) (dual of [(730, 2), 1378, 47]-NRT-code) | [i] | ||
| 16 | Linear OOA(8174, 730, F81, 3, 38) (dual of [(730, 3), 2116, 39]-NRT-code) | [i] | ||
| 17 | Linear OOA(8175, 730, F81, 3, 39) (dual of [(730, 3), 2115, 40]-NRT-code) | [i] | ||
| 18 | Linear OOA(8176, 730, F81, 3, 40) (dual of [(730, 3), 2114, 41]-NRT-code) | [i] | ||
| 19 | Linear OOA(8177, 730, F81, 3, 41) (dual of [(730, 3), 2113, 42]-NRT-code) | [i] | ||
| 20 | Linear OOA(8178, 730, F81, 3, 42) (dual of [(730, 3), 2112, 43]-NRT-code) | [i] | ||
| 21 | Linear OOA(8179, 730, F81, 3, 43) (dual of [(730, 3), 2111, 44]-NRT-code) | [i] | ||
| 22 | Linear OOA(8180, 730, F81, 3, 44) (dual of [(730, 3), 2110, 45]-NRT-code) | [i] | ||
| 23 | Linear OOA(8181, 730, F81, 3, 45) (dual of [(730, 3), 2109, 46]-NRT-code) | [i] | ||
| 24 | Linear OOA(8182, 730, F81, 3, 46) (dual of [(730, 3), 2108, 47]-NRT-code) | [i] | ||
| 25 | Linear OOA(8174, 730, F81, 4, 38) (dual of [(730, 4), 2846, 39]-NRT-code) | [i] | ||
| 26 | Linear OOA(8175, 730, F81, 4, 39) (dual of [(730, 4), 2845, 40]-NRT-code) | [i] | ||
| 27 | Linear OOA(8176, 730, F81, 4, 40) (dual of [(730, 4), 2844, 41]-NRT-code) | [i] | ||
| 28 | Linear OOA(8177, 730, F81, 4, 41) (dual of [(730, 4), 2843, 42]-NRT-code) | [i] | ||
| 29 | Linear OOA(8178, 730, F81, 4, 42) (dual of [(730, 4), 2842, 43]-NRT-code) | [i] | ||
| 30 | Linear OOA(8179, 730, F81, 4, 43) (dual of [(730, 4), 2841, 44]-NRT-code) | [i] | ||
| 31 | Linear OOA(8180, 730, F81, 4, 44) (dual of [(730, 4), 2840, 45]-NRT-code) | [i] | ||
| 32 | Linear OOA(8181, 730, F81, 4, 45) (dual of [(730, 4), 2839, 46]-NRT-code) | [i] | ||
| 33 | Linear OOA(8182, 730, F81, 4, 46) (dual of [(730, 4), 2838, 47]-NRT-code) | [i] | ||
| 34 | Linear OA(8181, 729, F81, 45) (dual of [729, 648, 46]-code) | [i] | Algebraic-Geometric Codes | |
| 35 | Linear OA(8179, 729, F81, 43) (dual of [729, 650, 44]-code) | [i] | ||
| 36 | Linear OA(8180, 729, F81, 44) (dual of [729, 649, 45]-code) | [i] | ||
| 37 | Linear OA(8178, 729, F81, 42) (dual of [729, 651, 43]-code) | [i] | ||
| 38 | Linear OA(8177, 729, F81, 41) (dual of [729, 652, 42]-code) | [i] | ||
| 39 | Linear OOA(8179, 729, F81, 2, 43) (dual of [(729, 2), 1379, 44]-NRT-code) | [i] | Algebraic-Geometric NRT-Codes | |
| 40 | Linear OOA(8175, 729, F81, 2, 39) (dual of [(729, 2), 1383, 40]-NRT-code) | [i] | ||