Information on Result #622345

Linear OA(166, 24, F16, 5) (dual of [24, 18, 6]-code), using extended algebraic-geometric code AGe(F,18P) 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(1628, 538, F16, 11) (dual of [538, 510, 12]-code) [i](u, u+v)-Construction
2Linear OA(1637, 4121, F16, 11) (dual of [4121, 4084, 12]-code) [i]
3Linear OA(1648, 131098, F16, 11) (dual of [131098, 131050, 12]-code) [i]
4Linear OA(1657, 1048601, F16, 11) (dual of [1048601, 1048544, 12]-code) [i]
5Linear OA(1626, 538, F16, 10) (dual of [538, 512, 11]-code) [i]
6Linear OA(1634, 4120, F16, 10) (dual of [4120, 4086, 11]-code) [i]
7Linear OA(1644, 131096, F16, 10) (dual of [131096, 131052, 11]-code) [i]
8Linear OA(1652, 1048600, F16, 10) (dual of [1048600, 1048548, 11]-code) [i]
9Linear OA(1637, 4123, F16, 11) (dual of [4123, 4086, 12]-code) [i]
10Linear OA(1648, 131100, F16, 11) (dual of [131100, 131052, 12]-code) [i]
11Linear OA(1634, 4123, F16, 10) (dual of [4123, 4089, 11]-code) [i]
12Linear OA(1644, 131100, F16, 10) (dual of [131100, 131056, 11]-code) [i]
13Linear OA(1660, 1048619, F16, 11) (dual of [1048619, 1048559, 12]-code) [i](u, u−v, u+v+w)-Construction
14Linear OA(16127, 65559, F16, 33) (dual of [65559, 65432, 34]-code) [i]Construction X with Cyclic Codes
15Linear OA(16127, 4121, F16, 43) (dual of [4121, 3994, 44]-code) [i]
16Linear OA(16121, 4121, F16, 41) (dual of [4121, 4000, 42]-code) [i]
17Linear OA(16115, 4121, F16, 39) (dual of [4121, 4006, 40]-code) [i]
18Linear OA(1697, 4121, F16, 31) (dual of [4121, 4024, 32]-code) [i]
19Linear OA(1691, 4121, F16, 29) (dual of [4121, 4030, 30]-code) [i]
20Linear OA(1685, 4121, F16, 27) (dual of [4121, 4036, 28]-code) [i]
21Linear OA(1679, 4121, F16, 25) (dual of [4121, 4042, 26]-code) [i]
22Linear OA(1673, 4121, F16, 23) (dual of [4121, 4048, 24]-code) [i]
23Linear OA(1667, 4121, F16, 21) (dual of [4121, 4054, 22]-code) [i]
24Linear OA(1661, 4121, F16, 19) (dual of [4121, 4060, 20]-code) [i]
25Linear OA(1655, 4121, F16, 17) (dual of [4121, 4066, 18]-code) [i]
26Linear OA(1649, 4121, F16, 15) (dual of [4121, 4072, 16]-code) [i]
27Linear OA(1643, 4121, F16, 13) (dual of [4121, 4078, 14]-code) [i]
28Linear OA(16129, 65562, F16, 33) (dual of [65562, 65433, 34]-code) [i]Construction XX with a Chain of Cyclic Codes
29Linear OA(16127, 65560, F16, 33) (dual of [65560, 65433, 34]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
30Linear OA(16109, 4117, F16, 37) (dual of [4117, 4008, 38]-code) [i]
31Linear OA(16106, 4117, F16, 36) (dual of [4117, 4011, 37]-code) [i]
32Linear OA(16103, 4117, F16, 35) (dual of [4117, 4014, 36]-code) [i]
33Linear OA(16100, 4117, F16, 34) (dual of [4117, 4017, 35]-code) [i]
34Linear OA(1697, 4117, F16, 33) (dual of [4117, 4020, 34]-code) [i]
35Linear OA(1664, 4117, F16, 21) (dual of [4117, 4053, 22]-code) [i]
36Linear OA(1661, 4117, F16, 20) (dual of [4117, 4056, 21]-code) [i]
37Linear OA(1658, 4117, F16, 19) (dual of [4117, 4059, 20]-code) [i]
38Linear OA(1655, 4117, F16, 18) (dual of [4117, 4062, 19]-code) [i]
39Linear OA(1652, 4117, F16, 17) (dual of [4117, 4065, 18]-code) [i]
40Linear OA(16130, 4120, F16, 44) (dual of [4120, 3990, 45]-code) [i]
41Linear OA(16124, 4120, F16, 42) (dual of [4120, 3996, 43]-code) [i]
42Linear OA(16118, 4120, F16, 40) (dual of [4120, 4002, 41]-code) [i]
43Linear OA(1697, 4120, F16, 32) (dual of [4120, 4023, 33]-code) [i]
44Linear OA(1694, 4120, F16, 31) (dual of [4120, 4026, 32]-code) [i]
45Linear OA(1691, 4120, F16, 30) (dual of [4120, 4029, 31]-code) [i]
46Linear OA(1688, 4120, F16, 29) (dual of [4120, 4032, 30]-code) [i]
47Linear OA(1685, 4120, F16, 28) (dual of [4120, 4035, 29]-code) [i]
48Linear OA(1682, 4120, F16, 27) (dual of [4120, 4038, 28]-code) [i]
49Linear OA(1679, 4120, F16, 26) (dual of [4120, 4041, 27]-code) [i]
50Linear OA(1676, 4120, F16, 25) (dual of [4120, 4044, 26]-code) [i]
51Linear OA(1673, 4120, F16, 24) (dual of [4120, 4047, 25]-code) [i]
52Linear OA(1670, 4120, F16, 23) (dual of [4120, 4050, 24]-code) [i]
53Linear OA(1652, 4120, F16, 16) (dual of [4120, 4068, 17]-code) [i]
54Linear OA(1646, 4120, F16, 14) (dual of [4120, 4074, 15]-code) [i]
55Linear OA(1640, 4120, F16, 12) (dual of [4120, 4080, 13]-code) [i]
56Linear OA(16128, 610, F16, 46) (dual of [610, 482, 47]-code) [i]
57Linear OA(16125, 608, F16, 45) (dual of [608, 483, 46]-code) [i]