Information on Result #601005
Function Field F/F81 with g(F) = 33 and N(F) ≥ 576, using a curve from the manYPoints database
Mode: 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 (33, 575)-sequence over F81 | [i] | Niederreiter–Xing Sequence Construction II/III | |
| 2 | Linear OA(8177, 576, F81, 44) (dual of [576, 499, 45]-code) | [i] | Extended Algebraic-Geometric Codes | |
| 3 | Linear OA(8178, 576, F81, 45) (dual of [576, 498, 46]-code) | [i] | ||
| 4 | Linear OA(8179, 576, F81, 46) (dual of [576, 497, 47]-code) | [i] | ||
| 5 | Linear OA(8180, 576, F81, 47) (dual of [576, 496, 48]-code) | [i] | ||
| 6 | Linear OA(8181, 576, F81, 48) (dual of [576, 495, 49]-code) | [i] | ||
| 7 | Linear OA(8182, 576, F81, 49) (dual of [576, 494, 50]-code) | [i] | ||
| 8 | Linear OOA(8170, 576, F81, 2, 37) (dual of [(576, 2), 1082, 38]-NRT-code) | [i] | Extended Algebraic-Geometric NRT-Codes | |
| 9 | Linear OOA(8171, 576, F81, 2, 38) (dual of [(576, 2), 1081, 39]-NRT-code) | [i] | ||
| 10 | Linear OOA(8172, 576, F81, 2, 39) (dual of [(576, 2), 1080, 40]-NRT-code) | [i] | ||
| 11 | Linear OOA(8173, 576, F81, 2, 40) (dual of [(576, 2), 1079, 41]-NRT-code) | [i] | ||
| 12 | Linear OOA(8174, 576, F81, 2, 41) (dual of [(576, 2), 1078, 42]-NRT-code) | [i] | ||
| 13 | Linear OOA(8175, 576, F81, 2, 42) (dual of [(576, 2), 1077, 43]-NRT-code) | [i] | ||
| 14 | Linear OOA(8176, 576, F81, 2, 43) (dual of [(576, 2), 1076, 44]-NRT-code) | [i] | ||
| 15 | Linear OOA(8177, 576, F81, 2, 44) (dual of [(576, 2), 1075, 45]-NRT-code) | [i] | ||
| 16 | Linear OOA(8178, 576, F81, 2, 45) (dual of [(576, 2), 1074, 46]-NRT-code) | [i] | ||
| 17 | Linear OOA(8179, 576, F81, 2, 46) (dual of [(576, 2), 1073, 47]-NRT-code) | [i] | ||
| 18 | Linear OOA(8180, 576, F81, 2, 47) (dual of [(576, 2), 1072, 48]-NRT-code) | [i] | ||
| 19 | Linear OOA(8181, 576, F81, 2, 48) (dual of [(576, 2), 1071, 49]-NRT-code) | [i] | ||
| 20 | Linear OOA(8182, 576, F81, 2, 49) (dual of [(576, 2), 1070, 50]-NRT-code) | [i] | ||
| 21 | Linear OOA(8169, 576, F81, 3, 36) (dual of [(576, 3), 1659, 37]-NRT-code) | [i] | ||
| 22 | Linear OOA(8170, 576, F81, 3, 37) (dual of [(576, 3), 1658, 38]-NRT-code) | [i] | ||
| 23 | Linear OOA(8171, 576, F81, 3, 38) (dual of [(576, 3), 1657, 39]-NRT-code) | [i] | ||
| 24 | Linear OOA(8172, 576, F81, 3, 39) (dual of [(576, 3), 1656, 40]-NRT-code) | [i] | ||
| 25 | Linear OOA(8173, 576, F81, 3, 40) (dual of [(576, 3), 1655, 41]-NRT-code) | [i] | ||
| 26 | Linear OOA(8174, 576, F81, 3, 41) (dual of [(576, 3), 1654, 42]-NRT-code) | [i] | ||
| 27 | Linear OOA(8175, 576, F81, 3, 42) (dual of [(576, 3), 1653, 43]-NRT-code) | [i] | ||
| 28 | Linear OOA(8176, 576, F81, 3, 43) (dual of [(576, 3), 1652, 44]-NRT-code) | [i] | ||
| 29 | Linear OOA(8177, 576, F81, 3, 44) (dual of [(576, 3), 1651, 45]-NRT-code) | [i] | ||
| 30 | Linear OOA(8178, 576, F81, 3, 45) (dual of [(576, 3), 1650, 46]-NRT-code) | [i] | ||
| 31 | Linear OOA(8179, 576, F81, 3, 46) (dual of [(576, 3), 1649, 47]-NRT-code) | [i] | ||
| 32 | Linear OOA(8180, 576, F81, 3, 47) (dual of [(576, 3), 1648, 48]-NRT-code) | [i] | ||
| 33 | Linear OOA(8181, 576, F81, 3, 48) (dual of [(576, 3), 1647, 49]-NRT-code) | [i] | ||
| 34 | Linear OOA(8182, 576, F81, 3, 49) (dual of [(576, 3), 1646, 50]-NRT-code) | [i] | ||
| 35 | Linear OOA(8169, 576, F81, 4, 36) (dual of [(576, 4), 2235, 37]-NRT-code) | [i] | ||
| 36 | Linear OOA(8170, 576, F81, 4, 37) (dual of [(576, 4), 2234, 38]-NRT-code) | [i] | ||
| 37 | Linear OOA(8171, 576, F81, 4, 38) (dual of [(576, 4), 2233, 39]-NRT-code) | [i] | ||
| 38 | Linear OOA(8172, 576, F81, 4, 39) (dual of [(576, 4), 2232, 40]-NRT-code) | [i] | ||
| 39 | Linear OOA(8173, 576, F81, 4, 40) (dual of [(576, 4), 2231, 41]-NRT-code) | [i] | ||
| 40 | Linear OOA(8174, 576, F81, 4, 41) (dual of [(576, 4), 2230, 42]-NRT-code) | [i] | ||
| 41 | Linear OOA(8175, 576, F81, 4, 42) (dual of [(576, 4), 2229, 43]-NRT-code) | [i] | ||
| 42 | Linear OOA(8176, 576, F81, 4, 43) (dual of [(576, 4), 2228, 44]-NRT-code) | [i] | ||
| 43 | Linear OOA(8177, 576, F81, 4, 44) (dual of [(576, 4), 2227, 45]-NRT-code) | [i] | ||
| 44 | Linear OOA(8178, 576, F81, 4, 45) (dual of [(576, 4), 2226, 46]-NRT-code) | [i] | ||
| 45 | Linear OOA(8179, 576, F81, 4, 46) (dual of [(576, 4), 2225, 47]-NRT-code) | [i] | ||
| 46 | Linear OOA(8180, 576, F81, 4, 47) (dual of [(576, 4), 2224, 48]-NRT-code) | [i] | ||
| 47 | Linear OOA(8181, 576, F81, 4, 48) (dual of [(576, 4), 2223, 49]-NRT-code) | [i] | ||
| 48 | Linear OOA(8182, 576, F81, 4, 49) (dual of [(576, 4), 2222, 50]-NRT-code) | [i] | ||