Information on Result #644784

Linear OA(1623, 64, F16, 17) (dual of [64, 41, 18]-code), using algebraic-geometric code AG(F,46P) based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using

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:

ResultThis
result
only		Method
1Linear OA(1626, 67, F16, 19) (dual of [67, 41, 20]-code) [i]✔Construction X with Algebraic-Geometric Codes
2Linear OA(1624, 67, F16, 17) (dual of [67, 43, 18]-code) [i]✔
3Linear OA(1628, 69, F16, 20) (dual of [69, 41, 21]-code) [i]✔
4Linear OA(1625, 69, F16, 17) (dual of [69, 44, 18]-code) [i]✔
5Linear OA(1630, 71, F16, 21) (dual of [71, 41, 22]-code) [i]✔
6Linear OA(1626, 71, F16, 17) (dual of [71, 45, 18]-code) [i]✔
7Linear OA(1632, 73, F16, 22) (dual of [73, 41, 23]-code) [i]✔
8Linear OA(1627, 73, F16, 17) (dual of [73, 46, 18]-code) [i]✔
9Linear OA(1634, 75, F16, 23) (dual of [75, 41, 24]-code) [i]✔
10Linear OA(1628, 75, F16, 17) (dual of [75, 47, 18]-code) [i]✔
11Linear OA(1636, 77, F16, 24) (dual of [77, 41, 25]-code) [i]✔
12Linear OA(1638, 79, F16, 25) (dual of [79, 41, 26]-code) [i]✔
13Linear OA(1640, 81, F16, 26) (dual of [81, 41, 27]-code) [i]✔
14Linear OA(1647, 88, F16, 29) (dual of [88, 41, 30]-code) [i]✔
15Linear OA(1650, 91, F16, 30) (dual of [91, 41, 31]-code) [i]✔
16Linear OA(1652, 93, F16, 31) (dual of [93, 41, 32]-code) [i]✔
17Linear OA(1654, 95, F16, 32) (dual of [95, 41, 33]-code) [i]✔
18Linear OA(1656, 97, F16, 33) (dual of [97, 41, 34]-code) [i]✔
19Linear OA(1659, 100, F16, 34) (dual of [100, 41, 35]-code) [i]✔
20Linear OOA(1623, 32, F16, 2, 17) (dual of [(32, 2), 41, 18]-NRT-code) [i]OOA Folding