Information on Result #622344

Linear OA(165, 24, F16, 4) (dual of [24, 19, 5]-code), using extended algebraic-geometric code AGe(F,19P) 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(1623, 538, F16, 9) (dual of [538, 515, 10]-code) [i](u, u+v)-Construction
2Linear OA(1630, 4121, F16, 9) (dual of [4121, 4091, 10]-code) [i]
3Linear OA(1639, 131098, F16, 9) (dual of [131098, 131059, 10]-code) [i]
4Linear OA(1646, 1048601, F16, 9) (dual of [1048601, 1048555, 10]-code) [i]
5Linear OA(1627, 4120, F16, 8) (dual of [4120, 4093, 9]-code) [i]
6Linear OA(1635, 131096, F16, 8) (dual of [131096, 131061, 9]-code) [i]
7Linear OA(1641, 1048600, F16, 8) (dual of [1048600, 1048559, 9]-code) [i]
8Linear OA(1630, 4123, F16, 9) (dual of [4123, 4093, 10]-code) [i]
9Linear OA(1639, 131100, F16, 9) (dual of [131100, 131061, 10]-code) [i]
10Linear OA(1646, 1048605, F16, 9) (dual of [1048605, 1048559, 10]-code) [i]
11Linear OA(1627, 4123, F16, 8) (dual of [4123, 4096, 9]-code) [i]
12Linear OA(1635, 131100, F16, 8) (dual of [131100, 131065, 9]-code) [i]
13Linear OA(1641, 1048605, F16, 8) (dual of [1048605, 1048564, 9]-code) [i]
14Linear OA(16127, 608, F16, 46) (dual of [608, 481, 47]-code) [i]Construction XX with Cyclic Codes
15Linear OA(16128, 4123, F16, 42) (dual of [4123, 3995, 43]-code) [i]Construction XX with a Chain of Cyclic Codes
16Linear OA(16122, 4123, F16, 40) (dual of [4123, 4001, 41]-code) [i]
17Linear OA(16118, 4125, F16, 38) (dual of [4125, 4007, 39]-code) [i]
18Linear OA(1698, 4123, F16, 30) (dual of [4123, 4025, 31]-code) [i]
19Linear OA(1692, 4123, F16, 28) (dual of [4123, 4031, 29]-code) [i]
20Linear OA(1686, 4123, F16, 26) (dual of [4123, 4037, 27]-code) [i]
21Linear OA(1680, 4123, F16, 24) (dual of [4123, 4043, 25]-code) [i]
22Linear OA(1696, 1048600, F16, 20) (dual of [1048600, 1048504, 21]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
23Linear OA(1691, 1048600, F16, 19) (dual of [1048600, 1048509, 20]-code) [i]
24Linear OA(1686, 1048600, F16, 18) (dual of [1048600, 1048514, 19]-code) [i]
25Linear OA(1681, 1048600, F16, 17) (dual of [1048600, 1048519, 18]-code) [i]
26Linear OA(16130, 65557, F16, 34) (dual of [65557, 65427, 35]-code) [i]
27Linear OA(16126, 65557, F16, 33) (dual of [65557, 65431, 34]-code) [i]
28Linear OA(16129, 4116, F16, 44) (dual of [4116, 3987, 45]-code) [i]
29Linear OA(16126, 4116, F16, 43) (dual of [4116, 3990, 44]-code) [i]
30Linear OA(16123, 4116, F16, 42) (dual of [4116, 3993, 43]-code) [i]
31Linear OA(16120, 4116, F16, 41) (dual of [4116, 3996, 42]-code) [i]
32Linear OA(16117, 4116, F16, 40) (dual of [4116, 3999, 41]-code) [i]
33Linear OA(16114, 4116, F16, 39) (dual of [4116, 4002, 40]-code) [i]
34Linear OA(16111, 4116, F16, 38) (dual of [4116, 4005, 39]-code) [i]
35Linear OA(1693, 4116, F16, 31) (dual of [4116, 4023, 32]-code) [i]
36Linear OA(1690, 4116, F16, 30) (dual of [4116, 4026, 31]-code) [i]
37Linear OA(1687, 4116, F16, 29) (dual of [4116, 4029, 30]-code) [i]
38Linear OA(1684, 4116, F16, 28) (dual of [4116, 4032, 29]-code) [i]
39Linear OA(1681, 4116, F16, 27) (dual of [4116, 4035, 28]-code) [i]
40Linear OA(1678, 4116, F16, 26) (dual of [4116, 4038, 27]-code) [i]
41Linear OA(1675, 4116, F16, 25) (dual of [4116, 4041, 26]-code) [i]
42Linear OA(1672, 4116, F16, 24) (dual of [4116, 4044, 25]-code) [i]
43Linear OA(1669, 4116, F16, 23) (dual of [4116, 4047, 24]-code) [i]
44Linear OA(1666, 4116, F16, 22) (dual of [4116, 4050, 23]-code) [i]
45Linear OA(1648, 4116, F16, 15) (dual of [4116, 4068, 16]-code) [i]
46Linear OA(1645, 4116, F16, 14) (dual of [4116, 4071, 15]-code) [i]
47Linear OA(1642, 4116, F16, 13) (dual of [4116, 4074, 14]-code) [i]
48Linear OA(1639, 4116, F16, 12) (dual of [4116, 4077, 13]-code) [i]
49Linear OA(1636, 4116, F16, 11) (dual of [4116, 4080, 12]-code) [i]
50Linear OA(1633, 4116, F16, 10) (dual of [4116, 4083, 11]-code) [i]
51Linear OA(16130, 606, F16, 47) (dual of [606, 476, 48]-code) [i]
52Linear OA(16127, 606, F16, 46) (dual of [606, 479, 47]-code) [i]
53Linear OA(16124, 606, F16, 45) (dual of [606, 482, 46]-code) [i]