Information on Result #644722

Linear OA(1654, 64, F16, 48) (dual of [64, 10, 49]-code), using algebraic-geometric code AG(F,15P) based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, 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(16118, 128, F16, 97) (dual of [128, 10, 98]-code) [i]Repeating Each Code Word
2Linear OA(16117, 126, F16, 97) (dual of [126, 9, 98]-code) [i]
3Linear OA(16116, 124, F16, 97) (dual of [124, 8, 98]-code) [i]
4Linear OA(16115, 122, F16, 97) (dual of [122, 7, 98]-code) [i]
5Linear OA(16126, 136, F16, 102) (dual of [136, 10, 103]-code) [i]Juxtaposition
6Linear OA(16130, 140, F16, 104) (dual of [140, 10, 105]-code) [i]
7Linear OA(4172, 192, F4, 97) (dual of [192, 20, 98]-code) [i]Concatenation of Two Codes
8Linear OA(4171, 189, F4, 97) (dual of [189, 18, 98]-code) [i]
9Linear OA(4236, 256, F4, 146) (dual of [256, 20, 147]-code) [i]
10Linear OA(4234, 252, F4, 146) (dual of [252, 18, 147]-code) [i]
11Linear OA(1657, 67, F16, 50) (dual of [67, 10, 51]-code) [i]✔Construction X with Algebraic-Geometric Codes
12Linear OA(1655, 67, F16, 48) (dual of [67, 12, 49]-code) [i]✔
13Linear OA(1659, 69, F16, 51) (dual of [69, 10, 52]-code) [i]✔
14Linear OA(1656, 69, F16, 48) (dual of [69, 13, 49]-code) [i]✔
15Linear OA(1661, 71, F16, 52) (dual of [71, 10, 53]-code) [i]✔
16Linear OA(1657, 71, F16, 48) (dual of [71, 14, 49]-code) [i]✔
17Linear OA(1663, 73, F16, 53) (dual of [73, 10, 54]-code) [i]✔
18Linear OA(1658, 73, F16, 48) (dual of [73, 15, 49]-code) [i]✔
19Linear OA(1665, 75, F16, 54) (dual of [75, 10, 55]-code) [i]✔
20Linear OA(1659, 75, F16, 48) (dual of [75, 16, 49]-code) [i]✔
21Linear OA(1667, 77, F16, 55) (dual of [77, 10, 56]-code) [i]✔
22Linear OA(1660, 77, F16, 48) (dual of [77, 17, 49]-code) [i]✔
23Linear OA(1669, 79, F16, 56) (dual of [79, 10, 57]-code) [i]✔
24Linear OA(1661, 79, F16, 48) (dual of [79, 18, 49]-code) [i]✔
25Linear OA(1678, 88, F16, 63) (dual of [88, 10, 64]-code) [i]✔
26Linear OA(1671, 81, F16, 57) (dual of [81, 10, 58]-code) [i]✔
27Linear OA(1662, 81, F16, 48) (dual of [81, 19, 49]-code) [i]✔
28Linear OA(1664, 84, F16, 48) (dual of [84, 20, 49]-code) [i]✔
29Linear OA(1665, 86, F16, 48) (dual of [86, 21, 49]-code) [i]✔
30Linear OA(1666, 88, F16, 48) (dual of [88, 22, 49]-code) [i]✔
31Linear OA(1668, 91, F16, 48) (dual of [91, 23, 49]-code) [i]✔
32Linear OA(1669, 93, F16, 48) (dual of [93, 24, 49]-code) [i]✔
33Linear OA(1670, 95, F16, 48) (dual of [95, 25, 49]-code) [i]✔
34Linear OA(1671, 97, F16, 48) (dual of [97, 26, 49]-code) [i]✔
35Linear OA(1673, 100, F16, 48) (dual of [100, 27, 49]-code) [i]✔
36Linear OA(1674, 102, F16, 48) (dual of [102, 28, 49]-code) [i]✔
37Linear OA(1676, 105, F16, 48) (dual of [105, 29, 49]-code) [i]✔
38Linear OA(1677, 107, F16, 48) (dual of [107, 30, 49]-code) [i]✔
39Linear OA(1678, 109, F16, 48) (dual of [109, 31, 49]-code) [i]✔
40Linear OA(1680, 112, F16, 48) (dual of [112, 32, 49]-code) [i]✔
41Linear OA(1682, 115, F16, 48) (dual of [115, 33, 49]-code) [i]✔
42Linear OA(1683, 117, F16, 48) (dual of [117, 34, 49]-code) [i]✔
43Linear OA(1662, 72, F16, 53) (dual of [72, 10, 54]-code) [i]✔
44Linear OA(1664, 74, F16, 54) (dual of [74, 10, 55]-code) [i]✔
45Linear OA(1666, 76, F16, 55) (dual of [76, 10, 56]-code) [i]✔
46Linear OA(1670, 80, F16, 58) (dual of [80, 10, 59]-code) [i]✔
47Linear OA(1673, 83, F16, 59) (dual of [83, 10, 60]-code) [i]✔
48Linear OA(1672, 82, F16, 58) (dual of [82, 10, 59]-code) [i]✔Construction XX with a Chain of Algebraic-Geometric Codes
49Linear OA(1678, 89, F16, 62) (dual of [89, 11, 63]-code) [i]✔
50Linear OA(1672, 82, F16, 59) (dual of [82, 10, 60]-code) [i]✔
51Linear OA(1671, 82, F16, 58) (dual of [82, 11, 59]-code) [i]✔
52Linear OOA(1654, 32, F16, 2, 48) (dual of [(32, 2), 10, 49]-NRT-code) [i]OOA Folding