Information on Result #612733

Linear OA(467, 4096, F4, 15) (dual of [4096, 4029, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15

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(474, 4104, F4, 15) (dual of [4104, 4030, 16]-code) [i](u, u+v)-Construction
2Linear OA(475, 4106, F4, 15) (dual of [4106, 4031, 16]-code) [i]
3Linear OA(476, 4113, F4, 15) (dual of [4113, 4037, 16]-code) [i]
4Linear OOA(467, 2143, F4, 2, 15) (dual of [(2143, 2), 4219, 16]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
5Linear OOA(467, 2143, F4, 3, 15) (dual of [(2143, 3), 6362, 16]-NRT-code) [i]
6Digital (52, 67, 2143)-net over F4 [i]
7Linear OA(474, 4103, F4, 17) (dual of [4103, 4029, 18]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
8Linear OA(467, 4102, F4, 15) (dual of [4102, 4035, 16]-code) [i]✔
9Linear OA(482, 4111, F4, 18) (dual of [4111, 4029, 19]-code) [i]✔
10Linear OA(468, 4109, F4, 15) (dual of [4109, 4041, 16]-code) [i]✔
11Linear OA(490, 4119, F4, 19) (dual of [4119, 4029, 20]-code) [i]✔
12Linear OA(471, 4113, F4, 15) (dual of [4113, 4042, 16]-code) [i]✔
13Linear OA(472, 4119, F4, 15) (dual of [4119, 4047, 16]-code) [i]✔
14Linear OA(4101, 4130, F4, 21) (dual of [4130, 4029, 22]-code) [i]✔
15Linear OA(498, 4127, F4, 20) (dual of [4127, 4029, 21]-code) [i]✔
16Linear OA(474, 4127, F4, 15) (dual of [4127, 4053, 16]-code) [i]✔
17Linear OA(4110, 4139, F4, 22) (dual of [4139, 4029, 23]-code) [i]✔
18Linear OA(4100, 4129, F4, 21) (dual of [4129, 4029, 22]-code) [i]✔
19Linear OA(476, 4132, F4, 15) (dual of [4132, 4056, 16]-code) [i]✔
20Linear OA(4106, 4130, F4, 22) (dual of [4130, 4024, 23]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
21Linear OA(4100, 4126, F4, 21) (dual of [4126, 4026, 22]-code) [i]✔
22Linear OA(499, 4124, F4, 21) (dual of [4124, 4025, 22]-code) [i]✔
23Linear OA(498, 4122, F4, 21) (dual of [4122, 4024, 22]-code) [i]✔
24Linear OA(499, 4129, F4, 20) (dual of [4129, 4030, 21]-code) [i]✔
25Linear OA(489, 4114, F4, 19) (dual of [4114, 4025, 20]-code) [i]✔
26Linear OA(491, 4121, F4, 19) (dual of [4121, 4030, 20]-code) [i]✔
27Linear OA(481, 4105, F4, 18) (dual of [4105, 4024, 19]-code) [i]✔
28Linear OA(475, 4105, F4, 17) (dual of [4105, 4030, 18]-code) [i]✔
29Linear OA(471, 4114, F4, 15) (dual of [4114, 4043, 16]-code) [i]✔
30Linear OA(470, 4112, F4, 15) (dual of [4112, 4042, 16]-code) [i]✔
31Linear OA(473, 4121, F4, 15) (dual of [4121, 4048, 16]-code) [i]✔
32Linear OA(475, 4129, F4, 15) (dual of [4129, 4054, 16]-code) [i]✔