Information on Result #928697
Linear OOA(1678, 64, F16, 2, 72) (dual of [(64, 2), 50, 73]-NRT-code), using algebraic-geometric NRT-code AG(2;F,55P) based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4260, 156, F4, 2, 145) (dual of [(156, 2), 52, 146]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 2 | Linear OOA(4258, 153, F4, 2, 145) (dual of [(153, 2), 48, 146]-NRT-code) | [i] | ||
| 3 | Linear OOA(4256, 150, F4, 2, 145) (dual of [(150, 2), 44, 146]-NRT-code) | [i] | ||
| 4 | Linear OOA(1685, 67, F16, 2, 76) (dual of [(67, 2), 49, 77]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 5 | Linear OOA(1681, 67, F16, 2, 72) (dual of [(67, 2), 53, 73]-NRT-code) | [i] | ✔ | |
| 6 | Linear OOA(1687, 68, F16, 2, 77) (dual of [(68, 2), 49, 78]-NRT-code) | [i] | ✔ | |
| 7 | Linear OOA(1682, 68, F16, 2, 72) (dual of [(68, 2), 54, 73]-NRT-code) | [i] | ✔ | |
| 8 | Linear OOA(1689, 69, F16, 2, 78) (dual of [(69, 2), 49, 79]-NRT-code) | [i] | ✔ | |
| 9 | Linear OOA(1683, 69, F16, 2, 72) (dual of [(69, 2), 55, 73]-NRT-code) | [i] | ✔ | |
| 10 | Linear OOA(1691, 70, F16, 2, 79) (dual of [(70, 2), 49, 80]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(1684, 70, F16, 2, 72) (dual of [(70, 2), 56, 73]-NRT-code) | [i] | ✔ | |
| 12 | Linear OOA(1693, 71, F16, 2, 80) (dual of [(71, 2), 49, 81]-NRT-code) | [i] | ✔ | |
| 13 | Linear OOA(1685, 71, F16, 2, 72) (dual of [(71, 2), 57, 73]-NRT-code) | [i] | ✔ | |
| 14 | Linear OOA(1695, 72, F16, 2, 81) (dual of [(72, 2), 49, 82]-NRT-code) | [i] | ✔ | |
| 15 | Linear OOA(1686, 72, F16, 2, 72) (dual of [(72, 2), 58, 73]-NRT-code) | [i] | ✔ | |
| 16 | Linear OOA(1697, 73, F16, 2, 82) (dual of [(73, 2), 49, 83]-NRT-code) | [i] | ✔ | |
| 17 | Linear OOA(1687, 73, F16, 2, 72) (dual of [(73, 2), 59, 73]-NRT-code) | [i] | ✔ | |
| 18 | Linear OOA(1699, 74, F16, 2, 83) (dual of [(74, 2), 49, 84]-NRT-code) | [i] | ✔ | |
| 19 | Linear OOA(1688, 74, F16, 2, 72) (dual of [(74, 2), 60, 73]-NRT-code) | [i] | ✔ | |
| 20 | Linear OOA(16101, 75, F16, 2, 84) (dual of [(75, 2), 49, 85]-NRT-code) | [i] | ✔ | |
| 21 | Linear OOA(1689, 75, F16, 2, 72) (dual of [(75, 2), 61, 73]-NRT-code) | [i] | ✔ | |
| 22 | Linear OOA(16103, 76, F16, 2, 85) (dual of [(76, 2), 49, 86]-NRT-code) | [i] | ✔ | |
| 23 | Linear OOA(1690, 76, F16, 2, 72) (dual of [(76, 2), 62, 73]-NRT-code) | [i] | ✔ | |
| 24 | Linear OOA(16105, 77, F16, 2, 86) (dual of [(77, 2), 49, 87]-NRT-code) | [i] | ✔ | |
| 25 | Linear OOA(1691, 77, F16, 2, 72) (dual of [(77, 2), 63, 73]-NRT-code) | [i] | ✔ | |
| 26 | Linear OOA(16107, 78, F16, 2, 87) (dual of [(78, 2), 49, 88]-NRT-code) | [i] | ✔ | |
| 27 | Linear OOA(1692, 78, F16, 2, 72) (dual of [(78, 2), 64, 73]-NRT-code) | [i] | ✔ | |
| 28 | Linear OOA(16109, 79, F16, 2, 88) (dual of [(79, 2), 49, 89]-NRT-code) | [i] | ✔ | |
| 29 | Linear OOA(1693, 79, F16, 2, 72) (dual of [(79, 2), 65, 73]-NRT-code) | [i] | ✔ | |
| 30 | Linear OOA(16111, 80, F16, 2, 89) (dual of [(80, 2), 49, 90]-NRT-code) | [i] | ✔ | |
| 31 | Linear OOA(1694, 80, F16, 2, 72) (dual of [(80, 2), 66, 73]-NRT-code) | [i] | ✔ | |
| 32 | Linear OOA(16113, 81, F16, 2, 90) (dual of [(81, 2), 49, 91]-NRT-code) | [i] | ✔ | |
| 33 | Linear OOA(16114, 82, F16, 2, 90) (dual of [(82, 2), 50, 91]-NRT-code) | [i] | ✔ | |
| 34 | Linear OOA(1695, 81, F16, 2, 72) (dual of [(81, 2), 67, 73]-NRT-code) | [i] | ✔ | |
| 35 | Linear OOA(1696, 82, F16, 2, 72) (dual of [(82, 2), 68, 73]-NRT-code) | [i] | ✔ | |
| 36 | Linear OOA(16116, 83, F16, 2, 91) (dual of [(83, 2), 50, 92]-NRT-code) | [i] | ✔ | |
| 37 | Linear OOA(1697, 83, F16, 2, 72) (dual of [(83, 2), 69, 73]-NRT-code) | [i] | ✔ | |
| 38 | Linear OOA(16118, 84, F16, 2, 92) (dual of [(84, 2), 50, 93]-NRT-code) | [i] | ✔ | |
| 39 | Linear OOA(1698, 84, F16, 2, 72) (dual of [(84, 2), 70, 73]-NRT-code) | [i] | ✔ | |
| 40 | Linear OOA(16120, 85, F16, 2, 93) (dual of [(85, 2), 50, 94]-NRT-code) | [i] | ✔ | |
| 41 | Linear OOA(1699, 85, F16, 2, 72) (dual of [(85, 2), 71, 73]-NRT-code) | [i] | ✔ | |
| 42 | Linear OOA(16122, 86, F16, 2, 94) (dual of [(86, 2), 50, 95]-NRT-code) | [i] | ✔ | |
| 43 | Linear OOA(16100, 86, F16, 2, 72) (dual of [(86, 2), 72, 73]-NRT-code) | [i] | ✔ | |
| 44 | Linear OOA(16124, 87, F16, 2, 95) (dual of [(87, 2), 50, 96]-NRT-code) | [i] | ✔ | |
| 45 | Linear OOA(16101, 87, F16, 2, 72) (dual of [(87, 2), 73, 73]-NRT-code) | [i] | ✔ | |
| 46 | Linear OOA(16126, 88, F16, 2, 96) (dual of [(88, 2), 50, 97]-NRT-code) | [i] | ✔ | |
| 47 | Linear OOA(16102, 88, F16, 2, 72) (dual of [(88, 2), 74, 73]-NRT-code) | [i] | ✔ | |
| 48 | Linear OOA(16105, 90, F16, 2, 72) (dual of [(90, 2), 75, 73]-NRT-code) | [i] | ✔ | |
| 49 | Linear OOA(16106, 91, F16, 2, 72) (dual of [(91, 2), 76, 73]-NRT-code) | [i] | ✔ | |
| 50 | Linear OOA(16107, 92, F16, 2, 72) (dual of [(92, 2), 77, 73]-NRT-code) | [i] | ✔ | |
| 51 | Linear OOA(16108, 93, F16, 2, 72) (dual of [(93, 2), 78, 73]-NRT-code) | [i] | ✔ | |
| 52 | Linear OOA(16109, 94, F16, 2, 72) (dual of [(94, 2), 79, 73]-NRT-code) | [i] | ✔ | |
| 53 | Linear OOA(16110, 95, F16, 2, 72) (dual of [(95, 2), 80, 73]-NRT-code) | [i] | ✔ | |
| 54 | Linear OOA(16111, 96, F16, 2, 72) (dual of [(96, 2), 81, 73]-NRT-code) | [i] | ✔ | |