Information on Result #612705

Linear OA(446, 1024, F4, 13) (dual of [1024, 978, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13

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(452, 1031, F4, 13) (dual of [1031, 979, 14]-code) [i](u, u+v)-Construction
2Linear OA(453, 1033, F4, 13) (dual of [1033, 980, 14]-code) [i]
3Linear OA(454, 1041, F4, 13) (dual of [1041, 987, 14]-code) [i]
4Linear OA(452, 1051, F4, 13) (dual of [1051, 999, 14]-code) [i]VarÅ¡amov–Edel Lengthening
5Linear OA(453, 1072, F4, 13) (dual of [1072, 1019, 14]-code) [i]
6Linear OA(454, 1106, F4, 13) (dual of [1106, 1052, 14]-code) [i]
7Linear OA(451, 1029, F4, 14) (dual of [1029, 978, 15]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
8Linear OA(447, 1030, F4, 13) (dual of [1030, 983, 14]-code) [i]✔
9Linear OA(457, 1035, F4, 15) (dual of [1035, 978, 16]-code) [i]✔
10Linear OA(447, 1035, F4, 12) (dual of [1035, 988, 13]-code) [i]✔
11Linear OA(449, 1037, F4, 13) (dual of [1037, 988, 14]-code) [i]✔
12Linear OA(465, 1041, F4, 17) (dual of [1041, 976, 18]-code) [i]✔
13Linear OA(466, 1044, F4, 17) (dual of [1044, 978, 18]-code) [i]✔
14Linear OA(464, 1042, F4, 16) (dual of [1042, 978, 17]-code) [i]✔
15Linear OA(450, 1041, F4, 13) (dual of [1041, 991, 14]-code) [i]✔
16Linear OA(451, 1044, F4, 13) (dual of [1044, 993, 14]-code) [i]✔
17Linear OA(449, 1042, F4, 12) (dual of [1042, 993, 13]-code) [i]✔
18Linear OA(473, 1051, F4, 18) (dual of [1051, 978, 19]-code) [i]✔
19Linear OA(453, 1051, F4, 12) (dual of [1051, 998, 13]-code) [i]✔
20Linear OA(481, 1059, F4, 19) (dual of [1059, 978, 20]-code) [i]✔
21Linear OA(489, 1067, F4, 20) (dual of [1067, 978, 21]-code) [i]✔
22Linear OA(480, 1055, F4, 19) (dual of [1055, 975, 20]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
23Linear OA(479, 1053, F4, 19) (dual of [1053, 974, 20]-code) [i]✔
24Linear OA(472, 1046, F4, 18) (dual of [1046, 974, 19]-code) [i]✔
25Linear OA(478, 1060, F4, 18) (dual of [1060, 982, 19]-code) [i]✔
26Linear OA(477, 1058, F4, 18) (dual of [1058, 981, 19]-code) [i]✔
27Linear OA(476, 1056, F4, 18) (dual of [1056, 980, 19]-code) [i]✔
28Linear OA(475, 1054, F4, 18) (dual of [1054, 979, 19]-code) [i]✔
29Linear OA(463, 1037, F4, 16) (dual of [1037, 974, 17]-code) [i]✔
30Linear OA(470, 1051, F4, 17) (dual of [1051, 981, 18]-code) [i]✔
31Linear OA(469, 1049, F4, 17) (dual of [1049, 980, 18]-code) [i]✔
32Linear OA(467, 1047, F4, 16) (dual of [1047, 980, 17]-code) [i]✔
33Linear OA(468, 1047, F4, 17) (dual of [1047, 979, 18]-code) [i]✔
34Linear OA(466, 1045, F4, 16) (dual of [1045, 979, 17]-code) [i]✔
35Linear OA(459, 1038, F4, 15) (dual of [1038, 979, 16]-code) [i]✔
36Linear OA(453, 1032, F4, 14) (dual of [1032, 979, 15]-code) [i]✔
37Linear OA(448, 1032, F4, 13) (dual of [1032, 984, 14]-code) [i]✔
38Linear OA(448, 1037, F4, 12) (dual of [1037, 989, 13]-code) [i]✔
39Linear OA(454, 1049, F4, 13) (dual of [1049, 995, 14]-code) [i]✔
40Linear OA(452, 1047, F4, 12) (dual of [1047, 995, 13]-code) [i]✔
41Linear OA(453, 1047, F4, 13) (dual of [1047, 994, 14]-code) [i]✔
42Linear OA(451, 1045, F4, 12) (dual of [1045, 994, 13]-code) [i]✔
43Linear OA(462, 1041, F4, 15) (dual of [1041, 979, 16]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
44Linear OOA(446, 512, F4, 2, 13) (dual of [(512, 2), 978, 14]-NRT-code) [i]OOA Folding