Information on Result #928691
Linear OOA(1681, 64, F16, 2, 75) (dual of [(64, 2), 47, 76]-NRT-code), using algebraic-geometric NRT-code AG(2;F,52P) 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(1688, 67, F16, 2, 79) (dual of [(67, 2), 46, 80]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 2 | Linear OOA(1684, 67, F16, 2, 75) (dual of [(67, 2), 50, 76]-NRT-code) | [i] | ✔ | |
| 3 | Linear OOA(1690, 68, F16, 2, 80) (dual of [(68, 2), 46, 81]-NRT-code) | [i] | ✔ | |
| 4 | Linear OOA(1685, 68, F16, 2, 75) (dual of [(68, 2), 51, 76]-NRT-code) | [i] | ✔ | |
| 5 | Linear OOA(1692, 69, F16, 2, 81) (dual of [(69, 2), 46, 82]-NRT-code) | [i] | ✔ | |
| 6 | Linear OOA(1686, 69, F16, 2, 75) (dual of [(69, 2), 52, 76]-NRT-code) | [i] | ✔ | |
| 7 | Linear OOA(1694, 70, F16, 2, 82) (dual of [(70, 2), 46, 83]-NRT-code) | [i] | ✔ | |
| 8 | Linear OOA(1687, 70, F16, 2, 75) (dual of [(70, 2), 53, 76]-NRT-code) | [i] | ✔ | |
| 9 | Linear OOA(1696, 71, F16, 2, 83) (dual of [(71, 2), 46, 84]-NRT-code) | [i] | ✔ | |
| 10 | Linear OOA(1688, 71, F16, 2, 75) (dual of [(71, 2), 54, 76]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(1698, 72, F16, 2, 84) (dual of [(72, 2), 46, 85]-NRT-code) | [i] | ✔ | |
| 12 | Linear OOA(1689, 72, F16, 2, 75) (dual of [(72, 2), 55, 76]-NRT-code) | [i] | ✔ | |
| 13 | Linear OOA(16100, 73, F16, 2, 85) (dual of [(73, 2), 46, 86]-NRT-code) | [i] | ✔ | |
| 14 | Linear OOA(1690, 73, F16, 2, 75) (dual of [(73, 2), 56, 76]-NRT-code) | [i] | ✔ | |
| 15 | Linear OOA(16102, 74, F16, 2, 86) (dual of [(74, 2), 46, 87]-NRT-code) | [i] | ✔ | |
| 16 | Linear OOA(1691, 74, F16, 2, 75) (dual of [(74, 2), 57, 76]-NRT-code) | [i] | ✔ | |
| 17 | Linear OOA(16104, 75, F16, 2, 87) (dual of [(75, 2), 46, 88]-NRT-code) | [i] | ✔ | |
| 18 | Linear OOA(1692, 75, F16, 2, 75) (dual of [(75, 2), 58, 76]-NRT-code) | [i] | ✔ | |
| 19 | Linear OOA(16106, 76, F16, 2, 88) (dual of [(76, 2), 46, 89]-NRT-code) | [i] | ✔ | |
| 20 | Linear OOA(1693, 76, F16, 2, 75) (dual of [(76, 2), 59, 76]-NRT-code) | [i] | ✔ | |
| 21 | Linear OOA(16108, 77, F16, 2, 89) (dual of [(77, 2), 46, 90]-NRT-code) | [i] | ✔ | |
| 22 | Linear OOA(1694, 77, F16, 2, 75) (dual of [(77, 2), 60, 76]-NRT-code) | [i] | ✔ | |
| 23 | Linear OOA(16110, 78, F16, 2, 90) (dual of [(78, 2), 46, 91]-NRT-code) | [i] | ✔ | |
| 24 | Linear OOA(1695, 78, F16, 2, 75) (dual of [(78, 2), 61, 76]-NRT-code) | [i] | ✔ | |
| 25 | Linear OOA(16112, 79, F16, 2, 91) (dual of [(79, 2), 46, 92]-NRT-code) | [i] | ✔ | |
| 26 | Linear OOA(1696, 79, F16, 2, 75) (dual of [(79, 2), 62, 76]-NRT-code) | [i] | ✔ | |
| 27 | Linear OOA(16114, 80, F16, 2, 92) (dual of [(80, 2), 46, 93]-NRT-code) | [i] | ✔ | |
| 28 | Linear OOA(1697, 80, F16, 2, 75) (dual of [(80, 2), 63, 76]-NRT-code) | [i] | ✔ | |
| 29 | Linear OOA(16116, 81, F16, 2, 93) (dual of [(81, 2), 46, 94]-NRT-code) | [i] | ✔ | |
| 30 | Linear OOA(16117, 82, F16, 2, 93) (dual of [(82, 2), 47, 94]-NRT-code) | [i] | ✔ | |
| 31 | Linear OOA(1698, 81, F16, 2, 75) (dual of [(81, 2), 64, 76]-NRT-code) | [i] | ✔ | |
| 32 | Linear OOA(1699, 82, F16, 2, 75) (dual of [(82, 2), 65, 76]-NRT-code) | [i] | ✔ | |
| 33 | Linear OOA(16119, 83, F16, 2, 94) (dual of [(83, 2), 47, 95]-NRT-code) | [i] | ✔ | |
| 34 | Linear OOA(16100, 83, F16, 2, 75) (dual of [(83, 2), 66, 76]-NRT-code) | [i] | ✔ | |
| 35 | Linear OOA(16121, 84, F16, 2, 95) (dual of [(84, 2), 47, 96]-NRT-code) | [i] | ✔ | |
| 36 | Linear OOA(16101, 84, F16, 2, 75) (dual of [(84, 2), 67, 76]-NRT-code) | [i] | ✔ | |
| 37 | Linear OOA(16123, 85, F16, 2, 96) (dual of [(85, 2), 47, 97]-NRT-code) | [i] | ✔ | |
| 38 | Linear OOA(16102, 85, F16, 2, 75) (dual of [(85, 2), 68, 76]-NRT-code) | [i] | ✔ | |
| 39 | Linear OOA(16125, 86, F16, 2, 97) (dual of [(86, 2), 47, 98]-NRT-code) | [i] | ✔ | |
| 40 | Linear OOA(16103, 86, F16, 2, 75) (dual of [(86, 2), 69, 76]-NRT-code) | [i] | ✔ | |
| 41 | Linear OOA(16127, 87, F16, 2, 98) (dual of [(87, 2), 47, 99]-NRT-code) | [i] | ✔ | |
| 42 | Linear OOA(16104, 87, F16, 2, 75) (dual of [(87, 2), 70, 76]-NRT-code) | [i] | ✔ | |
| 43 | Linear OOA(16129, 88, F16, 2, 99) (dual of [(88, 2), 47, 100]-NRT-code) | [i] | ✔ | |
| 44 | Linear OOA(16105, 88, F16, 2, 75) (dual of [(88, 2), 71, 76]-NRT-code) | [i] | ✔ | |
| 45 | Linear OOA(16108, 90, F16, 2, 75) (dual of [(90, 2), 72, 76]-NRT-code) | [i] | ✔ | |
| 46 | Linear OOA(16109, 91, F16, 2, 75) (dual of [(91, 2), 73, 76]-NRT-code) | [i] | ✔ | |
| 47 | Linear OOA(16110, 92, F16, 2, 75) (dual of [(92, 2), 74, 76]-NRT-code) | [i] | ✔ | |
| 48 | Linear OOA(16111, 93, F16, 2, 75) (dual of [(93, 2), 75, 76]-NRT-code) | [i] | ✔ | |
| 49 | Linear OOA(16112, 94, F16, 2, 75) (dual of [(94, 2), 76, 76]-NRT-code) | [i] | ✔ | |
| 50 | Linear OOA(16113, 95, F16, 2, 75) (dual of [(95, 2), 77, 76]-NRT-code) | [i] | ✔ | |
| 51 | Linear OOA(16114, 96, F16, 2, 75) (dual of [(96, 2), 78, 76]-NRT-code) | [i] | ✔ | |