Information on Result #622378

Linear OA(1625, 33, F16, 23) (dual of [33, 8, 24]-code), using extended algebraic-geometric code AGe(F,9P) based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, 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(1691, 99, F16, 71) (dual of [99, 8, 72]-code) [i]Repeating Each Code Word
2Linear OA(16124, 132, F16, 95) (dual of [132, 8, 96]-code) [i]
3Linear OA(1689, 96, F16, 71) (dual of [96, 7, 72]-code) [i]
4Linear OA(16121, 128, F16, 95) (dual of [128, 7, 96]-code) [i]
5Linear OA(1687, 93, F16, 71) (dual of [93, 6, 72]-code) [i]
6Linear OA(16118, 124, F16, 95) (dual of [124, 6, 96]-code) [i]
7Linear OA(1685, 90, F16, 71) (dual of [90, 5, 72]-code) [i]
8Linear OA(16115, 120, F16, 95) (dual of [120, 5, 96]-code) [i]
9Linear OA(1683, 87, F16, 71) (dual of [87, 4, 72]-code) [i]
10Linear OA(1690, 98, F16, 75) (dual of [98, 8, 76]-code) [i]Juxtaposition
11Linear OA(1690, 97, F16, 76) (dual of [97, 7, 77]-code) [i]
12Linear OA(1689, 95, F16, 77) (dual of [95, 6, 78]-code) [i]
13Linear OA(1689, 94, F16, 78) (dual of [94, 5, 79]-code) [i]
14Linear OA(1689, 93, F16, 79) (dual of [93, 4, 80]-code) [i]
15Linear OA(2133, 165, F2, 47) (dual of [165, 32, 48]-code) [i]Concatenation of Two Codes
16Linear OA(2232, 264, F2, 95) (dual of [264, 32, 96]-code) [i]
17Linear OA(2224, 248, F2, 95) (dual of [248, 24, 96]-code) [i]
18Linear OA(2216, 232, F2, 95) (dual of [232, 16, 96]-code) [i]
19Linear OA(483, 99, F4, 47) (dual of [99, 16, 48]-code) [i]
20Linear OA(482, 96, F4, 47) (dual of [96, 14, 48]-code) [i]
21Linear OA(481, 93, F4, 47) (dual of [93, 12, 48]-code) [i]
22Linear OA(4116, 132, F4, 71) (dual of [132, 16, 72]-code) [i]
23Linear OA(4114, 128, F4, 71) (dual of [128, 14, 72]-code) [i]
24Linear OA(4112, 124, F4, 71) (dual of [124, 12, 72]-code) [i]
25Linear OA(4110, 120, F4, 71) (dual of [120, 10, 72]-code) [i]
26Linear OA(4149, 165, F4, 95) (dual of [165, 16, 96]-code) [i]
27Linear OA(4146, 160, F4, 95) (dual of [160, 14, 96]-code) [i]
28Linear OA(4143, 155, F4, 95) (dual of [155, 12, 96]-code) [i]
29Linear OA(4140, 150, F4, 95) (dual of [150, 10, 96]-code) [i]
30Linear OA(4137, 145, F4, 95) (dual of [145, 8, 96]-code) [i]
31Linear OA(4134, 140, F4, 95) (dual of [140, 6, 96]-code) [i]
32Linear OOA(2166, 99, F2, 2, 71) (dual of [(99, 2), 32, 72]-NRT-code) [i]Concatenation of Two NRT-Codes
33Linear OOA(2164, 96, F2, 2, 71) (dual of [(96, 2), 28, 72]-NRT-code) [i]
34Linear OOA(4182, 99, F4, 2, 119) (dual of [(99, 2), 16, 120]-NRT-code) [i]
35Linear OOA(4178, 96, F4, 2, 119) (dual of [(96, 2), 14, 120]-NRT-code) [i]
36Linear OOA(4174, 93, F4, 2, 119) (dual of [(93, 2), 12, 120]-NRT-code) [i]
37Linear OOA(4170, 90, F4, 2, 119) (dual of [(90, 2), 10, 120]-NRT-code) [i]
38Linear OOA(4166, 87, F4, 2, 119) (dual of [(87, 2), 8, 120]-NRT-code) [i]
39Linear OOA(4236, 124, F4, 2, 167) (dual of [(124, 2), 12, 168]-NRT-code) [i]
40Linear OOA(4230, 120, F4, 2, 167) (dual of [(120, 2), 10, 168]-NRT-code) [i]
41Linear OOA(4224, 116, F4, 2, 167) (dual of [(116, 2), 8, 168]-NRT-code) [i]
42Linear OOA(2166, 66, F2, 3, 71) (dual of [(66, 3), 32, 72]-NRT-code) [i]
43Linear OOA(2164, 64, F2, 3, 71) (dual of [(64, 3), 28, 72]-NRT-code) [i]
44Linear OOA(2260, 96, F2, 3, 143) (dual of [(96, 3), 28, 144]-NRT-code) [i]
45Linear OOA(2255, 93, F2, 3, 143) (dual of [(93, 3), 24, 144]-NRT-code) [i]
46Linear OOA(2250, 90, F2, 3, 143) (dual of [(90, 3), 20, 144]-NRT-code) [i]
47Linear OOA(2245, 87, F2, 3, 143) (dual of [(87, 3), 16, 144]-NRT-code) [i]