Information on Result #707787

Linear OA(461, 1023, F4, 17) (dual of [1023, 962, 18]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(461, 537, F4, 2, 17) (dual of [(537, 2), 1013, 18]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(461, 537, F4, 3, 17) (dual of [(537, 3), 1550, 18]-NRT-code) [i]
3Digital (44, 61, 537)-net over F4 [i]
4Linear OA(486, 1063, F4, 21) (dual of [1063, 977, 22]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(485, 1060, F4, 21) (dual of [1060, 975, 22]-code) [i]✔
6Linear OA(483, 1058, F4, 20) (dual of [1058, 975, 21]-code) [i]✔
7Linear OA(473, 1040, F4, 19) (dual of [1040, 967, 20]-code) [i]✔
8Linear OA(493, 1070, F4, 22) (dual of [1070, 977, 23]-code) [i]✔
9Linear OA(492, 1064, F4, 22) (dual of [1064, 972, 23]-code) [i]✔
10Linear OA(484, 1056, F4, 21) (dual of [1056, 972, 22]-code) [i]✔
11Linear OA(483, 1053, F4, 21) (dual of [1053, 970, 22]-code) [i]✔
12Linear OA(4101, 1077, F4, 23) (dual of [1077, 976, 24]-code) [i]✔
13Linear OA(491, 1063, F4, 22) (dual of [1063, 972, 23]-code) [i]✔
14Linear OA(490, 1057, F4, 22) (dual of [1057, 967, 23]-code) [i]✔
15Linear OA(482, 1049, F4, 21) (dual of [1049, 967, 22]-code) [i]✔
16Linear OA(480, 1047, F4, 20) (dual of [1047, 967, 21]-code) [i]✔
17Linear OA(481, 1046, F4, 21) (dual of [1046, 965, 22]-code) [i]✔
18Linear OA(499, 1070, F4, 23) (dual of [1070, 971, 24]-code) [i]✔
19Linear OA(489, 1056, F4, 22) (dual of [1056, 967, 23]-code) [i]✔
20Linear OA(497, 1063, F4, 23) (dual of [1063, 966, 24]-code) [i]✔
21Linear OA(4107, 1072, F4, 24) (dual of [1072, 965, 25]-code) [i]✔
22Linear OA(471, 1033, F4, 19) (dual of [1033, 962, 20]-code) [i]✔
23Linear OA(477, 1039, F4, 20) (dual of [1039, 962, 21]-code) [i]✔
24Linear OA(486, 1048, F4, 22) (dual of [1048, 962, 23]-code) [i]✔
25Linear OA(485, 1045, F4, 22) (dual of [1045, 960, 23]-code) [i]✔
26Linear OA(493, 1055, F4, 23) (dual of [1055, 962, 24]-code) [i]✔
27Linear OA(492, 1049, F4, 23) (dual of [1049, 957, 24]-code) [i]✔
28Linear OA(4101, 1062, F4, 24) (dual of [1062, 961, 25]-code) [i]✔
29Linear OA(492, 1054, F4, 23) (dual of [1054, 962, 24]-code) [i]✔
30Linear OA(491, 1051, F4, 23) (dual of [1051, 960, 24]-code) [i]✔
31Linear OA(499, 1061, F4, 24) (dual of [1061, 962, 25]-code) [i]✔
32Linear OA(498, 1055, F4, 24) (dual of [1055, 957, 25]-code) [i]✔
33Linear OA(4101, 1063, F4, 25) (dual of [1063, 962, 26]-code) [i]✔
34Linear OA(4100, 1060, F4, 25) (dual of [1060, 960, 26]-code) [i]✔
35Linear OA(498, 1058, F4, 24) (dual of [1058, 960, 25]-code) [i]✔
36Linear OA(4108, 1070, F4, 26) (dual of [1070, 962, 27]-code) [i]✔
37Linear OA(4107, 1064, F4, 26) (dual of [1064, 957, 27]-code) [i]✔
38Linear OA(4116, 1077, F4, 27) (dual of [1077, 961, 28]-code) [i]✔
39Linear OA(4124, 1079, F4, 28) (dual of [1079, 955, 29]-code) [i]✔
40Linear OA(4115, 1077, F4, 27) (dual of [1077, 962, 28]-code) [i]✔
41Linear OA(4114, 1071, F4, 27) (dual of [1071, 957, 28]-code) [i]✔
42Linear OA(4123, 1084, F4, 28) (dual of [1084, 961, 29]-code) [i]✔
43Linear OOA(461, 341, F4, 3, 17) (dual of [(341, 3), 962, 18]-NRT-code) [i]OOA Folding