Information on Result #600130
Function Field F/F8 with g(F) = 1 and N(F) ≥ 14, using F2 from the tower of function fields over F8 by van der Geer and van der Vlugt
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 (1, 13)-sequence over F8 | [i] | Niederreiter–Xing Sequence Construction II/III | |
| 2 | Linear OA(85, 14, F8, 4) (dual of [14, 9, 5]-code) | [i] | Extended Algebraic-Geometric Codes | |
| 3 | Linear OA(86, 14, F8, 5) (dual of [14, 8, 6]-code) | [i] | ||
| 4 | Linear OA(87, 14, F8, 6) (dual of [14, 7, 7]-code) | [i] | ||
| 5 | Linear OA(88, 14, F8, 7) (dual of [14, 6, 8]-code) | [i] | ||
| 6 | Linear OA(89, 14, F8, 8) (dual of [14, 5, 9]-code) | [i] | ||
| 7 | Linear OA(810, 14, F8, 9) (dual of [14, 4, 10]-code) | [i] | ||
| 8 | Linear OA(811, 14, F8, 10) (dual of [14, 3, 11]-code) | [i] | ||
| 9 | Linear OOA(85, 14, F8, 2, 4) (dual of [(14, 2), 23, 5]-NRT-code) | [i] | Extended Algebraic-Geometric NRT-Codes | |
| 10 | Linear OOA(86, 14, F8, 2, 5) (dual of [(14, 2), 22, 6]-NRT-code) | [i] | ||
| 11 | Linear OOA(87, 14, F8, 2, 6) (dual of [(14, 2), 21, 7]-NRT-code) | [i] | ||
| 12 | Linear OOA(88, 14, F8, 2, 7) (dual of [(14, 2), 20, 8]-NRT-code) | [i] | ||
| 13 | Linear OOA(89, 14, F8, 2, 8) (dual of [(14, 2), 19, 9]-NRT-code) | [i] | ||
| 14 | Linear OOA(810, 14, F8, 2, 9) (dual of [(14, 2), 18, 10]-NRT-code) | [i] | ||
| 15 | Linear OOA(811, 14, F8, 2, 10) (dual of [(14, 2), 17, 11]-NRT-code) | [i] | ||
| 16 | Linear OOA(812, 14, F8, 2, 11) (dual of [(14, 2), 16, 12]-NRT-code) | [i] | ||
| 17 | Linear OOA(813, 14, F8, 2, 12) (dual of [(14, 2), 15, 13]-NRT-code) | [i] | ||
| 18 | Linear OOA(814, 14, F8, 2, 13) (dual of [(14, 2), 14, 14]-NRT-code) | [i] | ||
| 19 | Linear OOA(815, 14, F8, 2, 14) (dual of [(14, 2), 13, 15]-NRT-code) | [i] | ||
| 20 | Linear OOA(816, 14, F8, 2, 15) (dual of [(14, 2), 12, 16]-NRT-code) | [i] | ||
| 21 | Linear OOA(817, 14, F8, 2, 16) (dual of [(14, 2), 11, 17]-NRT-code) | [i] | ||
| 22 | Linear OOA(818, 14, F8, 2, 17) (dual of [(14, 2), 10, 18]-NRT-code) | [i] | ||
| 23 | Linear OOA(819, 14, F8, 2, 18) (dual of [(14, 2), 9, 19]-NRT-code) | [i] | ||
| 24 | Linear OOA(820, 14, F8, 2, 19) (dual of [(14, 2), 8, 20]-NRT-code) | [i] | ||
| 25 | Linear OOA(821, 14, F8, 2, 20) (dual of [(14, 2), 7, 21]-NRT-code) | [i] | ||
| 26 | Linear OOA(822, 14, F8, 2, 21) (dual of [(14, 2), 6, 22]-NRT-code) | [i] | ||
| 27 | Linear OOA(823, 14, F8, 2, 22) (dual of [(14, 2), 5, 23]-NRT-code) | [i] | ||
| 28 | Linear OOA(824, 14, F8, 2, 23) (dual of [(14, 2), 4, 24]-NRT-code) | [i] | ||
| 29 | Linear OOA(825, 14, F8, 2, 24) (dual of [(14, 2), 3, 25]-NRT-code) | [i] | ||
| 30 | Linear OOA(826, 14, F8, 2, 25) (dual of [(14, 2), 2, 26]-NRT-code) | [i] | ||
| 31 | Linear OOA(85, 14, F8, 3, 4) (dual of [(14, 3), 37, 5]-NRT-code) | [i] | ||
| 32 | Linear OOA(86, 14, F8, 3, 5) (dual of [(14, 3), 36, 6]-NRT-code) | [i] | ||
| 33 | Linear OOA(87, 14, F8, 3, 6) (dual of [(14, 3), 35, 7]-NRT-code) | [i] | ||
| 34 | Linear OOA(88, 14, F8, 3, 7) (dual of [(14, 3), 34, 8]-NRT-code) | [i] | ||
| 35 | Linear OOA(89, 14, F8, 3, 8) (dual of [(14, 3), 33, 9]-NRT-code) | [i] | ||
| 36 | Linear OOA(810, 14, F8, 3, 9) (dual of [(14, 3), 32, 10]-NRT-code) | [i] | ||
| 37 | Linear OOA(811, 14, F8, 3, 10) (dual of [(14, 3), 31, 11]-NRT-code) | [i] | ||
| 38 | Linear OOA(812, 14, F8, 3, 11) (dual of [(14, 3), 30, 12]-NRT-code) | [i] | ||
| 39 | Linear OOA(813, 14, F8, 3, 12) (dual of [(14, 3), 29, 13]-NRT-code) | [i] | ||
| 40 | Linear OOA(814, 14, F8, 3, 13) (dual of [(14, 3), 28, 14]-NRT-code) | [i] | ||
| 41 | Linear OOA(815, 14, F8, 3, 14) (dual of [(14, 3), 27, 15]-NRT-code) | [i] | ||
| 42 | Linear OOA(816, 14, F8, 3, 15) (dual of [(14, 3), 26, 16]-NRT-code) | [i] | ||
| 43 | Linear OOA(817, 14, F8, 3, 16) (dual of [(14, 3), 25, 17]-NRT-code) | [i] | ||
| 44 | Linear OOA(818, 14, F8, 3, 17) (dual of [(14, 3), 24, 18]-NRT-code) | [i] | ||
| 45 | Linear OOA(819, 14, F8, 3, 18) (dual of [(14, 3), 23, 19]-NRT-code) | [i] | ||
| 46 | Linear OOA(820, 14, F8, 3, 19) (dual of [(14, 3), 22, 20]-NRT-code) | [i] | ||
| 47 | Linear OOA(821, 14, F8, 3, 20) (dual of [(14, 3), 21, 21]-NRT-code) | [i] | ||
| 48 | Linear OOA(822, 14, F8, 3, 21) (dual of [(14, 3), 20, 22]-NRT-code) | [i] | ||
| 49 | Linear OOA(823, 14, F8, 3, 22) (dual of [(14, 3), 19, 23]-NRT-code) | [i] | ||
| 50 | Linear OOA(824, 14, F8, 3, 23) (dual of [(14, 3), 18, 24]-NRT-code) | [i] | ||
| 51 | Linear OOA(825, 14, F8, 3, 24) (dual of [(14, 3), 17, 25]-NRT-code) | [i] | ||
| 52 | Linear OOA(826, 14, F8, 3, 25) (dual of [(14, 3), 16, 26]-NRT-code) | [i] | ||
| 53 | Linear OOA(827, 14, F8, 3, 26) (dual of [(14, 3), 15, 27]-NRT-code) | [i] | ||
| 54 | Linear OOA(828, 14, F8, 3, 27) (dual of [(14, 3), 14, 28]-NRT-code) | [i] | ||
| 55 | Linear OOA(829, 14, F8, 3, 28) (dual of [(14, 3), 13, 29]-NRT-code) | [i] | ||
| 56 | Linear OOA(830, 14, F8, 3, 29) (dual of [(14, 3), 12, 30]-NRT-code) | [i] | ||
| 57 | Linear OOA(831, 14, F8, 3, 30) (dual of [(14, 3), 11, 31]-NRT-code) | [i] | ||
| 58 | Linear OOA(832, 14, F8, 3, 31) (dual of [(14, 3), 10, 32]-NRT-code) | [i] | ||
| 59 | Linear OOA(833, 14, F8, 3, 32) (dual of [(14, 3), 9, 33]-NRT-code) | [i] | ||
| 60 | Linear OOA(834, 14, F8, 3, 33) (dual of [(14, 3), 8, 34]-NRT-code) | [i] | ||
| 61 | Linear OOA(835, 14, F8, 3, 34) (dual of [(14, 3), 7, 35]-NRT-code) | [i] | ||
| 62 | Linear OOA(836, 14, F8, 3, 35) (dual of [(14, 3), 6, 36]-NRT-code) | [i] | ||
| 63 | Linear OOA(837, 14, F8, 3, 36) (dual of [(14, 3), 5, 37]-NRT-code) | [i] | ||
| 64 | Linear OOA(838, 14, F8, 3, 37) (dual of [(14, 3), 4, 38]-NRT-code) | [i] | ||
| 65 | Linear OOA(839, 14, F8, 3, 38) (dual of [(14, 3), 3, 39]-NRT-code) | [i] | ||
| 66 | Linear OOA(840, 14, F8, 3, 39) (dual of [(14, 3), 2, 40]-NRT-code) | [i] | ||