Information on Result #622404

Linear OA(1630, 38, F16, 27) (dual of [38, 8, 28]-code), using extended algebraic-geometric code AGe(F,10P) based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, 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(1668, 76, F16, 55) (dual of [76, 8, 56]-code) [i]Repeating Each Code Word
2Linear OA(16106, 114, F16, 83) (dual of [114, 8, 84]-code) [i]
3Linear OA(1667, 74, F16, 55) (dual of [74, 7, 56]-code) [i]
4Linear OA(16104, 111, F16, 83) (dual of [111, 7, 84]-code) [i]
5Linear OA(1666, 72, F16, 55) (dual of [72, 6, 56]-code) [i]
6Linear OA(16102, 108, F16, 83) (dual of [108, 6, 84]-code) [i]
7Linear OA(1665, 70, F16, 55) (dual of [70, 5, 56]-code) [i]
8Linear OA(16100, 105, F16, 83) (dual of [105, 5, 84]-code) [i]
9Linear OA(1695, 103, F16, 79) (dual of [103, 8, 80]-code) [i]Juxtaposition
10Linear OA(1695, 102, F16, 80) (dual of [102, 7, 81]-code) [i]
11Linear OA(1694, 100, F16, 81) (dual of [100, 6, 82]-code) [i]
12Linear OA(1694, 99, F16, 82) (dual of [99, 5, 83]-code) [i]
13Linear OA(498, 114, F4, 55) (dual of [114, 16, 56]-code) [i]Concatenation of Two Codes
14Linear OA(497, 111, F4, 55) (dual of [111, 14, 56]-code) [i]
15Linear OA(496, 108, F4, 55) (dual of [108, 12, 56]-code) [i]
16Linear OA(4136, 152, F4, 83) (dual of [152, 16, 84]-code) [i]
17Linear OA(4134, 148, F4, 83) (dual of [148, 14, 84]-code) [i]
18Linear OA(4132, 144, F4, 83) (dual of [144, 12, 84]-code) [i]
19Linear OA(4130, 140, F4, 83) (dual of [140, 10, 84]-code) [i]
20Linear OA(4174, 190, F4, 111) (dual of [190, 16, 112]-code) [i]
21Linear OA(4171, 185, F4, 111) (dual of [185, 14, 112]-code) [i]
22Linear OA(4168, 180, F4, 111) (dual of [180, 12, 112]-code) [i]
23Linear OA(4165, 175, F4, 111) (dual of [175, 10, 112]-code) [i]
24Linear OOA(2196, 114, F2, 2, 83) (dual of [(114, 2), 32, 84]-NRT-code) [i]Concatenation of Two NRT-Codes
25Linear OOA(4208, 111, F4, 2, 139) (dual of [(111, 2), 14, 140]-NRT-code) [i]
26Linear OOA(4204, 108, F4, 2, 139) (dual of [(108, 2), 12, 140]-NRT-code) [i]
27Linear OOA(4200, 105, F4, 2, 139) (dual of [(105, 2), 10, 140]-NRT-code) [i]
28Linear OOA(2196, 76, F2, 3, 83) (dual of [(76, 3), 32, 84]-NRT-code) [i]
29Linear OOA(1630, 19, F16, 2, 27) (dual of [(19, 2), 8, 28]-NRT-code) [i]OOA Folding