Information on Result #613823

Linear OA(586, 3125, F5, 22) (dual of [3125, 3039, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22

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(597, 3137, F5, 22) (dual of [3137, 3040, 23]-code) [i](u, u+v)-Construction
2Linear OA(599, 3141, F5, 22) (dual of [3141, 3042, 23]-code) [i]
3Linear OA(5100, 3143, F5, 22) (dual of [3143, 3043, 23]-code) [i]
4Linear OA(5101, 3155, F5, 22) (dual of [3155, 3054, 23]-code) [i]
5Linear OOA(586, 1927, F5, 2, 22) (dual of [(1927, 2), 3768, 23]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
6Linear OOA(586, 1927, F5, 3, 22) (dual of [(1927, 3), 5695, 23]-NRT-code) [i]
7Digital (64, 86, 1927)-net over F5 [i]
8Linear OA(5101, 3141, F5, 22) (dual of [3141, 3040, 23]-code) [i](u, u−v, u+v+w)-Construction
9Linear OA(591, 3130, F5, 23) (dual of [3130, 3039, 24]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
10Linear OA(586, 3130, F5, 22) (dual of [3130, 3044, 23]-code) [i]✔
11Linear OA(597, 3136, F5, 24) (dual of [3136, 3039, 25]-code) [i]✔
12Linear OA(589, 3138, F5, 22) (dual of [3138, 3049, 23]-code) [i]✔
13Linear OA(5105, 3144, F5, 26) (dual of [3144, 3039, 27]-code) [i]✔
14Linear OA(590, 3144, F5, 22) (dual of [3144, 3054, 23]-code) [i]✔
15Linear OA(5113, 3151, F5, 27) (dual of [3151, 3038, 28]-code) [i]✔
16Linear OA(5114, 3153, F5, 27) (dual of [3153, 3039, 28]-code) [i]✔
17Linear OA(593, 3151, F5, 22) (dual of [3151, 3058, 23]-code) [i]✔
18Linear OA(594, 3153, F5, 22) (dual of [3153, 3059, 23]-code) [i]✔
19Linear OA(5121, 3160, F5, 28) (dual of [3160, 3039, 29]-code) [i]✔
20Linear OA(596, 3160, F5, 22) (dual of [3160, 3064, 23]-code) [i]✔
21Linear OA(5128, 3167, F5, 29) (dual of [3167, 3039, 30]-code) [i]✔
22Linear OA(5100, 3169, F5, 22) (dual of [3169, 3069, 23]-code) [i]✔
23Linear OA(5137, 3176, F5, 31) (dual of [3176, 3039, 32]-code) [i]✔
24Linear OA(5135, 3174, F5, 30) (dual of [3174, 3039, 31]-code) [i]✔
25Linear OA(5146, 3183, F5, 32) (dual of [3183, 3037, 33]-code) [i]✔
26Linear OA(5147, 3186, F5, 32) (dual of [3186, 3039, 33]-code) [i]✔
27Linear OA(5112, 3151, F5, 27) (dual of [3151, 3039, 28]-code) [i]✔
28Linear OA(592, 3151, F5, 22) (dual of [3151, 3059, 23]-code) [i]✔
29Linear OA(5118, 3153, F5, 28) (dual of [3153, 3035, 29]-code) [i]✔
30Linear OA(5119, 3158, F5, 28) (dual of [3158, 3039, 29]-code) [i]✔
31Linear OA(593, 3153, F5, 22) (dual of [3153, 3060, 23]-code) [i]✔
32Linear OA(594, 3158, F5, 22) (dual of [3158, 3064, 23]-code) [i]✔
33Linear OA(5127, 3166, F5, 29) (dual of [3166, 3039, 30]-code) [i]✔
34Linear OA(5145, 3181, F5, 32) (dual of [3181, 3036, 33]-code) [i]✔
35Linear OA(5120, 3155, F5, 28) (dual of [3155, 3035, 29]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
36Linear OA(5112, 3148, F5, 27) (dual of [3148, 3036, 28]-code) [i]✔
37Linear OA(5111, 3146, F5, 27) (dual of [3146, 3035, 28]-code) [i]✔
38Linear OA(5115, 3155, F5, 27) (dual of [3155, 3040, 28]-code) [i]✔
39Linear OA(5107, 3148, F5, 26) (dual of [3148, 3041, 27]-code) [i]✔
40Linear OA(5106, 3146, F5, 26) (dual of [3146, 3040, 27]-code) [i]✔
41Linear OA(598, 3138, F5, 24) (dual of [3138, 3040, 25]-code) [i]✔
42Linear OA(588, 3133, F5, 22) (dual of [3133, 3045, 23]-code) [i]✔
43Linear OA(592, 3148, F5, 22) (dual of [3148, 3056, 23]-code) [i]✔
44Linear OA(591, 3146, F5, 22) (dual of [3146, 3055, 23]-code) [i]✔
45Linear OA(595, 3155, F5, 22) (dual of [3155, 3060, 23]-code) [i]✔