Information on Result #622356

Linear OA(1617, 24, F16, 16) (dual of [24, 7, 17]-code), using extended algebraic-geometric code AGe(F,7P) based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, 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(16113, 120, F16, 84) (dual of [120, 7, 85]-code) [i]Repeating Each Code Word
2Linear OA(16109, 115, F16, 84) (dual of [115, 6, 85]-code) [i]
3Linear OA(16105, 110, F16, 84) (dual of [110, 5, 85]-code) [i]
4Linear OA(16127, 132, F16, 101) (dual of [132, 5, 102]-code) [i]
5Linear OA(16101, 105, F16, 84) (dual of [105, 4, 85]-code) [i]
6Linear OA(16108, 4121, F16, 33) (dual of [4121, 4013, 34]-code) [i](u, u+v)-Construction
7Linear OA(1682, 89, F16, 69) (dual of [89, 7, 70]-code) [i]Juxtaposition
8Linear OA(1681, 87, F16, 70) (dual of [87, 6, 71]-code) [i]
9Linear OA(1681, 86, F16, 71) (dual of [86, 5, 72]-code) [i]
10Linear OA(1681, 85, F16, 72) (dual of [85, 4, 73]-code) [i]
11Linear OA(1698, 102, F16, 86) (dual of [102, 4, 87]-code) [i]
12Linear OA(1683, 90, F16, 70) (dual of [90, 7, 71]-code) [i]
13Linear OA(2140, 168, F2, 50) (dual of [168, 28, 51]-code) [i]Concatenation of Two Codes
14Linear OA(2164, 192, F2, 67) (dual of [192, 28, 68]-code) [i]
15Linear OA(2160, 184, F2, 67) (dual of [184, 24, 68]-code) [i]
16Linear OA(2156, 176, F2, 67) (dual of [176, 20, 68]-code) [i]
17Linear OA(458, 72, F4, 33) (dual of [72, 14, 34]-code) [i]
18Linear OA(457, 69, F4, 33) (dual of [69, 12, 34]-code) [i]
19Linear OA(456, 66, F4, 33) (dual of [66, 10, 34]-code) [i]
20Linear OA(482, 96, F4, 50) (dual of [96, 14, 51]-code) [i]
21Linear OA(480, 92, F4, 50) (dual of [92, 12, 51]-code) [i]
22Linear OA(478, 88, F4, 50) (dual of [88, 10, 51]-code) [i]
23Linear OA(476, 84, F4, 50) (dual of [84, 8, 51]-code) [i]
24Linear OA(4106, 120, F4, 67) (dual of [120, 14, 68]-code) [i]
25Linear OA(4103, 115, F4, 67) (dual of [115, 12, 68]-code) [i]
26Linear OA(4100, 110, F4, 67) (dual of [110, 10, 68]-code) [i]
27Linear OA(497, 105, F4, 67) (dual of [105, 8, 68]-code) [i]
28Linear OOA(2116, 72, F2, 2, 50) (dual of [(72, 2), 28, 51]-NRT-code) [i]Concatenation of Two NRT-Codes
29Linear OOA(2212, 120, F2, 2, 101) (dual of [(120, 2), 28, 102]-NRT-code) [i]
30Linear OOA(2206, 115, F2, 2, 101) (dual of [(115, 2), 24, 102]-NRT-code) [i]
31Linear OOA(2200, 110, F2, 2, 101) (dual of [(110, 2), 20, 102]-NRT-code) [i]
32Linear OOA(2194, 105, F2, 2, 101) (dual of [(105, 2), 16, 102]-NRT-code) [i]
33Linear OOA(4130, 72, F4, 2, 84) (dual of [(72, 2), 14, 85]-NRT-code) [i]
34Linear OOA(4126, 69, F4, 2, 84) (dual of [(69, 2), 12, 85]-NRT-code) [i]
35Linear OOA(4122, 66, F4, 2, 84) (dual of [(66, 2), 10, 85]-NRT-code) [i]
36Linear OOA(4172, 92, F4, 2, 118) (dual of [(92, 2), 12, 119]-NRT-code) [i]
37Linear OOA(4166, 88, F4, 2, 118) (dual of [(88, 2), 10, 119]-NRT-code) [i]
38Linear OOA(4160, 84, F4, 2, 118) (dual of [(84, 2), 8, 119]-NRT-code) [i]
39Linear OOA(4218, 115, F4, 2, 152) (dual of [(115, 2), 12, 153]-NRT-code) [i]
40Linear OOA(4210, 110, F4, 2, 152) (dual of [(110, 2), 10, 153]-NRT-code) [i]
41Linear OOA(4202, 105, F4, 2, 152) (dual of [(105, 2), 8, 153]-NRT-code) [i]
42Linear OOA(2116, 48, F2, 3, 50) (dual of [(48, 3), 28, 51]-NRT-code) [i]
43Linear OOA(2188, 72, F2, 3, 101) (dual of [(72, 3), 28, 102]-NRT-code) [i]
44Linear OOA(2183, 69, F2, 3, 101) (dual of [(69, 3), 24, 102]-NRT-code) [i]
45Linear OOA(2178, 66, F2, 3, 101) (dual of [(66, 3), 20, 102]-NRT-code) [i]
46Linear OOA(2173, 63, F2, 3, 101) (dual of [(63, 3), 16, 102]-NRT-code) [i]
47Linear OOA(2260, 72, F2, 4, 152) (dual of [(72, 4), 28, 153]-NRT-code) [i]
48Linear OOA(2252, 69, F2, 4, 152) (dual of [(69, 4), 24, 153]-NRT-code) [i]
49Linear OOA(2244, 66, F2, 4, 152) (dual of [(66, 4), 20, 153]-NRT-code) [i]
50Linear OOA(2236, 63, F2, 4, 152) (dual of [(63, 4), 16, 153]-NRT-code) [i]