Information on Result #600235
Function Field F/F16 with g(F) = 48 and N(F) ≥ 243, using a function field by GarcÃa and Quoos
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 (48, 242)-sequence over F16 | [i] | Niederreiter–Xing Sequence Construction II/III | |
| 2 | Linear OA(16122, 243, F16, 74) (dual of [243, 121, 75]-code) | [i] | Extended Algebraic-Geometric Codes | |
| 3 | Linear OA(16123, 243, F16, 75) (dual of [243, 120, 76]-code) | [i] | ||
| 4 | Linear OA(16124, 243, F16, 76) (dual of [243, 119, 77]-code) | [i] | ||
| 5 | Linear OA(16125, 243, F16, 77) (dual of [243, 118, 78]-code) | [i] | ||
| 6 | Linear OA(16126, 243, F16, 78) (dual of [243, 117, 79]-code) | [i] | ||
| 7 | Linear OA(16127, 243, F16, 79) (dual of [243, 116, 80]-code) | [i] | ||
| 8 | Linear OA(16128, 243, F16, 80) (dual of [243, 115, 81]-code) | [i] | ||
| 9 | Linear OA(16129, 243, F16, 81) (dual of [243, 114, 82]-code) | [i] | ||
| 10 | Linear OA(16130, 243, F16, 82) (dual of [243, 113, 83]-code) | [i] | ||
| 11 | Linear OOA(1697, 243, F16, 2, 49) (dual of [(243, 2), 389, 50]-NRT-code) | [i] | Extended Algebraic-Geometric NRT-Codes | |
| 12 | Linear OOA(1698, 243, F16, 2, 50) (dual of [(243, 2), 388, 51]-NRT-code) | [i] | ||
| 13 | Linear OOA(1699, 243, F16, 2, 51) (dual of [(243, 2), 387, 52]-NRT-code) | [i] | ||
| 14 | Linear OOA(16100, 243, F16, 2, 52) (dual of [(243, 2), 386, 53]-NRT-code) | [i] | ||
| 15 | Linear OOA(16101, 243, F16, 2, 53) (dual of [(243, 2), 385, 54]-NRT-code) | [i] | ||
| 16 | Linear OOA(16102, 243, F16, 2, 54) (dual of [(243, 2), 384, 55]-NRT-code) | [i] | ||
| 17 | Linear OOA(16103, 243, F16, 2, 55) (dual of [(243, 2), 383, 56]-NRT-code) | [i] | ||
| 18 | Linear OOA(16104, 243, F16, 2, 56) (dual of [(243, 2), 382, 57]-NRT-code) | [i] | ||
| 19 | Linear OOA(16105, 243, F16, 2, 57) (dual of [(243, 2), 381, 58]-NRT-code) | [i] | ||
| 20 | Linear OOA(16106, 243, F16, 2, 58) (dual of [(243, 2), 380, 59]-NRT-code) | [i] | ||
| 21 | Linear OOA(16107, 243, F16, 2, 59) (dual of [(243, 2), 379, 60]-NRT-code) | [i] | ||
| 22 | Linear OOA(16108, 243, F16, 2, 60) (dual of [(243, 2), 378, 61]-NRT-code) | [i] | ||
| 23 | Linear OOA(16109, 243, F16, 2, 61) (dual of [(243, 2), 377, 62]-NRT-code) | [i] | ||
| 24 | Linear OOA(16110, 243, F16, 2, 62) (dual of [(243, 2), 376, 63]-NRT-code) | [i] | ||
| 25 | Linear OOA(16111, 243, F16, 2, 63) (dual of [(243, 2), 375, 64]-NRT-code) | [i] | ||
| 26 | Linear OOA(16112, 243, F16, 2, 64) (dual of [(243, 2), 374, 65]-NRT-code) | [i] | ||
| 27 | Linear OOA(16113, 243, F16, 2, 65) (dual of [(243, 2), 373, 66]-NRT-code) | [i] | ||
| 28 | Linear OOA(16114, 243, F16, 2, 66) (dual of [(243, 2), 372, 67]-NRT-code) | [i] | ||
| 29 | Linear OOA(16115, 243, F16, 2, 67) (dual of [(243, 2), 371, 68]-NRT-code) | [i] | ||
| 30 | Linear OOA(16116, 243, F16, 2, 68) (dual of [(243, 2), 370, 69]-NRT-code) | [i] | ||
| 31 | Linear OOA(16117, 243, F16, 2, 69) (dual of [(243, 2), 369, 70]-NRT-code) | [i] | ||
| 32 | Linear OOA(16118, 243, F16, 2, 70) (dual of [(243, 2), 368, 71]-NRT-code) | [i] | ||
| 33 | Linear OOA(16119, 243, F16, 2, 71) (dual of [(243, 2), 367, 72]-NRT-code) | [i] | ||
| 34 | Linear OOA(16120, 243, F16, 2, 72) (dual of [(243, 2), 366, 73]-NRT-code) | [i] | ||
| 35 | Linear OOA(16121, 243, F16, 2, 73) (dual of [(243, 2), 365, 74]-NRT-code) | [i] | ||
| 36 | Linear OOA(16122, 243, F16, 2, 74) (dual of [(243, 2), 364, 75]-NRT-code) | [i] | ||
| 37 | Linear OOA(16123, 243, F16, 2, 75) (dual of [(243, 2), 363, 76]-NRT-code) | [i] | ||
| 38 | Linear OOA(16124, 243, F16, 2, 76) (dual of [(243, 2), 362, 77]-NRT-code) | [i] | ||
| 39 | Linear OOA(16125, 243, F16, 2, 77) (dual of [(243, 2), 361, 78]-NRT-code) | [i] | ||
| 40 | Linear OOA(16126, 243, F16, 2, 78) (dual of [(243, 2), 360, 79]-NRT-code) | [i] | ||
| 41 | Linear OOA(16127, 243, F16, 2, 79) (dual of [(243, 2), 359, 80]-NRT-code) | [i] | ||
| 42 | Linear OOA(16128, 243, F16, 2, 80) (dual of [(243, 2), 358, 81]-NRT-code) | [i] | ||
| 43 | Linear OOA(16129, 243, F16, 2, 81) (dual of [(243, 2), 357, 82]-NRT-code) | [i] | ||
| 44 | Linear OOA(16130, 243, F16, 2, 82) (dual of [(243, 2), 356, 83]-NRT-code) | [i] | ||
| 45 | Linear OA(16129, 242, F16, 81) (dual of [242, 113, 82]-code) | [i] | Algebraic-Geometric Codes | |
| 46 | Linear OA(16127, 242, F16, 79) (dual of [242, 115, 80]-code) | [i] | ||
| 47 | Linear OA(16128, 242, F16, 80) (dual of [242, 114, 81]-code) | [i] | ||
| 48 | Linear OA(16126, 242, F16, 78) (dual of [242, 116, 79]-code) | [i] | ||
| 49 | Linear OA(16125, 242, F16, 77) (dual of [242, 117, 78]-code) | [i] | ||
| 50 | Linear OA(16124, 242, F16, 76) (dual of [242, 118, 77]-code) | [i] | ||
| 51 | Linear OA(16123, 242, F16, 75) (dual of [242, 119, 76]-code) | [i] | ||
| 52 | Linear OA(16122, 242, F16, 74) (dual of [242, 120, 75]-code) | [i] | ||
| 53 | Linear OA(16121, 242, F16, 73) (dual of [242, 121, 74]-code) | [i] | ||
| 54 | Linear OOA(16127, 242, F16, 2, 79) (dual of [(242, 2), 357, 80]-NRT-code) | [i] | Algebraic-Geometric NRT-Codes | |
| 55 | Linear OOA(16123, 242, F16, 2, 75) (dual of [(242, 2), 361, 76]-NRT-code) | [i] | ||
| 56 | Linear OOA(16126, 242, F16, 2, 78) (dual of [(242, 2), 358, 79]-NRT-code) | [i] | ||
| 57 | Linear OOA(16122, 242, F16, 2, 74) (dual of [(242, 2), 362, 75]-NRT-code) | [i] | ||
| 58 | Linear OOA(16125, 242, F16, 2, 77) (dual of [(242, 2), 359, 78]-NRT-code) | [i] | ||
| 59 | Linear OOA(16121, 242, F16, 2, 73) (dual of [(242, 2), 363, 74]-NRT-code) | [i] | ||
| 60 | Linear OOA(16124, 242, F16, 2, 76) (dual of [(242, 2), 360, 77]-NRT-code) | [i] | ||
| 61 | Linear OOA(16120, 242, F16, 2, 72) (dual of [(242, 2), 364, 73]-NRT-code) | [i] | ||
| 62 | Linear OOA(16119, 242, F16, 2, 71) (dual of [(242, 2), 365, 72]-NRT-code) | [i] | ||
| 63 | Linear OOA(16118, 242, F16, 2, 70) (dual of [(242, 2), 366, 71]-NRT-code) | [i] | ||
| 64 | Linear OOA(16117, 242, F16, 2, 69) (dual of [(242, 2), 367, 70]-NRT-code) | [i] | ||
| 65 | Linear OOA(16116, 242, F16, 2, 68) (dual of [(242, 2), 368, 69]-NRT-code) | [i] | ||
| 66 | Linear OOA(16115, 242, F16, 2, 67) (dual of [(242, 2), 369, 68]-NRT-code) | [i] | ||
| 67 | Linear OOA(16114, 242, F16, 2, 66) (dual of [(242, 2), 370, 67]-NRT-code) | [i] | ||
| 68 | Linear OOA(16113, 242, F16, 2, 65) (dual of [(242, 2), 371, 66]-NRT-code) | [i] | ||
| 69 | Linear OOA(16112, 242, F16, 2, 64) (dual of [(242, 2), 372, 65]-NRT-code) | [i] | ||
| 70 | Linear OOA(16111, 242, F16, 2, 63) (dual of [(242, 2), 373, 64]-NRT-code) | [i] | ||
| 71 | Linear OOA(16110, 242, F16, 2, 62) (dual of [(242, 2), 374, 63]-NRT-code) | [i] | ||
| 72 | Linear OOA(16109, 242, F16, 2, 61) (dual of [(242, 2), 375, 62]-NRT-code) | [i] | ||
| 73 | Linear OOA(16108, 242, F16, 2, 60) (dual of [(242, 2), 376, 61]-NRT-code) | [i] | ||
| 74 | Linear OOA(16107, 242, F16, 2, 59) (dual of [(242, 2), 377, 60]-NRT-code) | [i] | ||
| 75 | Linear OOA(16106, 242, F16, 2, 58) (dual of [(242, 2), 378, 59]-NRT-code) | [i] | ||
| 76 | Linear OOA(16105, 242, F16, 2, 57) (dual of [(242, 2), 379, 58]-NRT-code) | [i] | ||
| 77 | Linear OOA(16104, 242, F16, 2, 56) (dual of [(242, 2), 380, 57]-NRT-code) | [i] | ||
| 78 | Linear OOA(16103, 242, F16, 2, 55) (dual of [(242, 2), 381, 56]-NRT-code) | [i] | ||
| 79 | Linear OOA(16102, 242, F16, 2, 54) (dual of [(242, 2), 382, 55]-NRT-code) | [i] | ||
| 80 | Linear OOA(16101, 242, F16, 2, 53) (dual of [(242, 2), 383, 54]-NRT-code) | [i] | ||
| 81 | Linear OOA(16100, 242, F16, 2, 52) (dual of [(242, 2), 384, 53]-NRT-code) | [i] | ||
| 82 | Linear OOA(1699, 242, F16, 2, 51) (dual of [(242, 2), 385, 52]-NRT-code) | [i] | ||
| 83 | Linear OOA(1698, 242, F16, 2, 50) (dual of [(242, 2), 386, 51]-NRT-code) | [i] | ||
| 84 | Linear OOA(1697, 242, F16, 2, 49) (dual of [(242, 2), 387, 50]-NRT-code) | [i] | ||
| 85 | Linear OOA(1696, 242, F16, 2, 48) (dual of [(242, 2), 388, 49]-NRT-code) | [i] | ||