Information on Result #682966

Linear OA(591, 3125, F5, 23) (dual of [3125, 3034, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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 OOA(591, 2133, F5, 2, 23) (dual of [(2133, 2), 4175, 24]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(591, 2133, F5, 3, 23) (dual of [(2133, 3), 6308, 24]-NRT-code) [i]
3Digital (68, 91, 2133)-net over F5 [i]
4Linear OA(596, 3130, F5, 24) (dual of [3130, 3034, 25]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(591, 3130, F5, 23) (dual of [3130, 3039, 24]-code) [i]✔
6Linear OA(5104, 3138, F5, 26) (dual of [3138, 3034, 27]-code) [i]✔
7Linear OA(5110, 3144, F5, 27) (dual of [3144, 3034, 28]-code) [i]✔
8Linear OA(595, 3144, F5, 23) (dual of [3144, 3049, 24]-code) [i]✔
9Linear OA(5118, 3151, F5, 28) (dual of [3151, 3033, 29]-code) [i]✔
10Linear OA(5119, 3153, F5, 28) (dual of [3153, 3034, 29]-code) [i]✔
11Linear OA(598, 3151, F5, 23) (dual of [3151, 3053, 24]-code) [i]✔
12Linear OA(599, 3153, F5, 23) (dual of [3153, 3054, 24]-code) [i]✔
13Linear OA(5126, 3160, F5, 29) (dual of [3160, 3034, 30]-code) [i]✔
14Linear OA(5101, 3160, F5, 23) (dual of [3160, 3059, 24]-code) [i]✔
15Linear OA(5103, 3167, F5, 23) (dual of [3167, 3064, 24]-code) [i]✔
16Linear OA(5142, 3176, F5, 32) (dual of [3176, 3034, 33]-code) [i]✔
17Linear OA(5107, 3176, F5, 23) (dual of [3176, 3069, 24]-code) [i]✔
18Linear OA(5117, 3151, F5, 28) (dual of [3151, 3034, 29]-code) [i]✔
19Linear OA(597, 3151, F5, 23) (dual of [3151, 3054, 24]-code) [i]✔
20Linear OA(5123, 3153, F5, 29) (dual of [3153, 3030, 30]-code) [i]✔
21Linear OA(5124, 3158, F5, 29) (dual of [3158, 3034, 30]-code) [i]✔
22Linear OA(599, 3158, F5, 23) (dual of [3158, 3059, 24]-code) [i]✔
23Linear OA(5102, 3166, F5, 23) (dual of [3166, 3064, 24]-code) [i]✔
24Linear OA(5125, 3155, F5, 29) (dual of [3155, 3030, 30]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
25Linear OA(5117, 3148, F5, 28) (dual of [3148, 3031, 29]-code) [i]✔
26Linear OA(5116, 3146, F5, 28) (dual of [3146, 3030, 29]-code) [i]✔
27Linear OA(5120, 3155, F5, 28) (dual of [3155, 3035, 29]-code) [i]✔
28Linear OA(5112, 3148, F5, 27) (dual of [3148, 3036, 28]-code) [i]✔
29Linear OA(5111, 3146, F5, 27) (dual of [3146, 3035, 28]-code) [i]✔
30Linear OA(5103, 3133, F5, 26) (dual of [3133, 3030, 27]-code) [i]✔
31Linear OA(597, 3148, F5, 23) (dual of [3148, 3051, 24]-code) [i]✔
32Linear OA(596, 3146, F5, 23) (dual of [3146, 3050, 24]-code) [i]✔
33Linear OA(5100, 3155, F5, 23) (dual of [3155, 3055, 24]-code) [i]✔