Information on Result #644782
Linear OA(1624, 64, F16, 18) (dual of [64, 40, 19]-code), using algebraic-geometric code AG(F,45P) 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 OA(2153, 285, F2, 37) (dual of [285, 132, 38]-code) | [i] | Concatenation of Two Codes | |
| 2 | Linear OA(4100, 156, F4, 37) (dual of [156, 56, 38]-code) | [i] | ||
| 3 | Linear OA(499, 153, F4, 37) (dual of [153, 54, 38]-code) | [i] | ||
| 4 | Linear OA(1627, 67, F16, 20) (dual of [67, 40, 21]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 5 | Linear OA(1625, 67, F16, 18) (dual of [67, 42, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(1629, 69, F16, 21) (dual of [69, 40, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(1626, 69, F16, 18) (dual of [69, 43, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(1631, 71, F16, 22) (dual of [71, 40, 23]-code) | [i] | ✔ | |
| 9 | Linear OA(1627, 71, F16, 18) (dual of [71, 44, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(1633, 73, F16, 23) (dual of [73, 40, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(1628, 73, F16, 18) (dual of [73, 45, 19]-code) | [i] | ✔ | |
| 12 | Linear OA(1635, 75, F16, 24) (dual of [75, 40, 25]-code) | [i] | ✔ | |
| 13 | Linear OA(1629, 75, F16, 18) (dual of [75, 46, 19]-code) | [i] | ✔ | |
| 14 | Linear OA(1637, 77, F16, 25) (dual of [77, 40, 26]-code) | [i] | ✔ | |
| 15 | Linear OA(1639, 79, F16, 26) (dual of [79, 40, 27]-code) | [i] | ✔ | |
| 16 | Linear OA(1641, 81, F16, 27) (dual of [81, 40, 28]-code) | [i] | ✔ | |
| 17 | Linear OA(1648, 88, F16, 30) (dual of [88, 40, 31]-code) | [i] | ✔ | |
| 18 | Linear OA(1651, 91, F16, 31) (dual of [91, 40, 32]-code) | [i] | ✔ | |
| 19 | Linear OA(1653, 93, F16, 32) (dual of [93, 40, 33]-code) | [i] | ✔ | |
| 20 | Linear OA(1655, 95, F16, 33) (dual of [95, 40, 34]-code) | [i] | ✔ | |
| 21 | Linear OA(1657, 97, F16, 34) (dual of [97, 40, 35]-code) | [i] | ✔ | |
| 22 | Linear OA(1660, 100, F16, 35) (dual of [100, 40, 36]-code) | [i] | ✔ | |
| 23 | Linear OA(1662, 102, F16, 36) (dual of [102, 40, 37]-code) | [i] | ✔ | |
| 24 | Linear OOA(1624, 32, F16, 2, 18) (dual of [(32, 2), 40, 19]-NRT-code) | [i] | OOA Folding | |