Information on Result #644790
Linear OA(1620, 64, F16, 14) (dual of [64, 44, 15]-code), using algebraic-geometric code AG(F,49P) 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(1623, 67, F16, 16) (dual of [67, 44, 17]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 2 | Linear OA(1621, 67, F16, 14) (dual of [67, 46, 15]-code) | [i] | ✔ | |
| 3 | Linear OA(1625, 69, F16, 17) (dual of [69, 44, 18]-code) | [i] | ✔ | |
| 4 | Linear OA(1622, 69, F16, 14) (dual of [69, 47, 15]-code) | [i] | ✔ | |
| 5 | Linear OA(1627, 71, F16, 18) (dual of [71, 44, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(1623, 71, F16, 14) (dual of [71, 48, 15]-code) | [i] | ✔ | |
| 7 | Linear OA(1629, 73, F16, 19) (dual of [73, 44, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(1624, 73, F16, 14) (dual of [73, 49, 15]-code) | [i] | ✔ | |
| 9 | Linear OA(1631, 75, F16, 20) (dual of [75, 44, 21]-code) | [i] | ✔ | |
| 10 | Linear OA(1633, 77, F16, 21) (dual of [77, 44, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(1635, 79, F16, 22) (dual of [79, 44, 23]-code) | [i] | ✔ | |
| 12 | Linear OA(1644, 88, F16, 26) (dual of [88, 44, 27]-code) | [i] | ✔ | |
| 13 | Linear OA(1647, 91, F16, 27) (dual of [91, 44, 28]-code) | [i] | ✔ | |
| 14 | Linear OA(1649, 93, F16, 28) (dual of [93, 44, 29]-code) | [i] | ✔ | |
| 15 | Linear OA(1651, 95, F16, 29) (dual of [95, 44, 30]-code) | [i] | ✔ | |
| 16 | Linear OA(1653, 97, F16, 30) (dual of [97, 44, 31]-code) | [i] | ✔ | |
| 17 | Linear OA(1656, 100, F16, 31) (dual of [100, 44, 32]-code) | [i] | ✔ | |
| 18 | Linear OA(16129, 4158, F16, 39) (dual of [4158, 4029, 40]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 19 | Linear OA(16126, 4158, F16, 38) (dual of [4158, 4032, 39]-code) | [i] | ||
| 20 | Linear OA(16123, 4158, F16, 37) (dual of [4158, 4035, 38]-code) | [i] | ||
| 21 | Linear OA(16120, 4158, F16, 36) (dual of [4158, 4038, 37]-code) | [i] | ||
| 22 | Linear OA(16117, 4158, F16, 35) (dual of [4158, 4041, 36]-code) | [i] | ||
| 23 | Linear OA(16114, 4158, F16, 34) (dual of [4158, 4044, 35]-code) | [i] | ||
| 24 | Linear OA(16111, 4158, F16, 33) (dual of [4158, 4047, 34]-code) | [i] | ||
| 25 | Linear OA(16105, 4158, F16, 30) (dual of [4158, 4053, 31]-code) | [i] | ||
| 26 | Linear OOA(1620, 32, F16, 2, 14) (dual of [(32, 2), 44, 15]-NRT-code) | [i] | OOA Folding | |