Information on Result #644786
Linear OA(1622, 64, F16, 16) (dual of [64, 42, 17]-code), using algebraic-geometric code AG(F,47P) 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(1625, 67, F16, 18) (dual of [67, 42, 19]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 2 | Linear OA(1623, 67, F16, 16) (dual of [67, 44, 17]-code) | [i] | ✔ | |
| 3 | Linear OA(1627, 69, F16, 19) (dual of [69, 42, 20]-code) | [i] | ✔ | |
| 4 | Linear OA(1624, 69, F16, 16) (dual of [69, 45, 17]-code) | [i] | ✔ | |
| 5 | Linear OA(1629, 71, F16, 20) (dual of [71, 42, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(1625, 71, F16, 16) (dual of [71, 46, 17]-code) | [i] | ✔ | |
| 7 | Linear OA(1631, 73, F16, 21) (dual of [73, 42, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(1626, 73, F16, 16) (dual of [73, 47, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(1633, 75, F16, 22) (dual of [75, 42, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(1627, 75, F16, 16) (dual of [75, 48, 17]-code) | [i] | ✔ | |
| 11 | Linear OA(1635, 77, F16, 23) (dual of [77, 42, 24]-code) | [i] | ✔ | |
| 12 | Linear OA(1637, 79, F16, 24) (dual of [79, 42, 25]-code) | [i] | ✔ | |
| 13 | Linear OA(1639, 81, F16, 25) (dual of [81, 42, 26]-code) | [i] | ✔ | |
| 14 | Linear OA(1642, 84, F16, 26) (dual of [84, 42, 27]-code) | [i] | ✔ | |
| 15 | Linear OA(1644, 86, F16, 27) (dual of [86, 42, 28]-code) | [i] | ✔ | |
| 16 | Linear OA(1646, 88, F16, 28) (dual of [88, 42, 29]-code) | [i] | ✔ | |
| 17 | Linear OA(1649, 91, F16, 29) (dual of [91, 42, 30]-code) | [i] | ✔ | |
| 18 | Linear OA(1651, 93, F16, 30) (dual of [93, 42, 31]-code) | [i] | ✔ | |
| 19 | Linear OA(1653, 95, F16, 31) (dual of [95, 42, 32]-code) | [i] | ✔ | |
| 20 | Linear OA(1655, 97, F16, 32) (dual of [97, 42, 33]-code) | [i] | ✔ | |
| 21 | Linear OA(1658, 100, F16, 33) (dual of [100, 42, 34]-code) | [i] | ✔ | |
| 22 | Linear OOA(1622, 32, F16, 2, 16) (dual of [(32, 2), 42, 17]-NRT-code) | [i] | OOA Folding | |