Information on Result #613863

Linear OA(596, 3125, F5, 24) (dual of [3125, 3029, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24

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(5108, 3138, F5, 24) (dual of [3138, 3030, 25]-code) [i](u, u+v)-Construction
2Linear OA(5110, 3141, F5, 24) (dual of [3141, 3031, 25]-code) [i]
3Linear OA(5111, 3144, F5, 24) (dual of [3144, 3033, 25]-code) [i]
4Linear OA(5112, 3150, F5, 24) (dual of [3150, 3038, 25]-code) [i]
5Linear OOA(596, 2346, F5, 2, 24) (dual of [(2346, 2), 4596, 25]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
6Linear OOA(596, 2346, F5, 3, 24) (dual of [(2346, 3), 6942, 25]-NRT-code) [i]
7Digital (72, 96, 2346)-net over F5 [i]
8Linear OA(5113, 3143, F5, 24) (dual of [3143, 3030, 25]-code) [i](u, u−v, u+v+w)-Construction
9Linear OA(5102, 3131, F5, 26) (dual of [3131, 3029, 27]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
10Linear OA(596, 3130, F5, 24) (dual of [3130, 3034, 25]-code) [i]✔
11Linear OA(5109, 3138, F5, 27) (dual of [3138, 3029, 28]-code) [i]✔
12Linear OA(597, 3136, F5, 24) (dual of [3136, 3039, 25]-code) [i]✔
13Linear OA(5115, 3144, F5, 28) (dual of [3144, 3029, 29]-code) [i]✔
14Linear OA(599, 3143, F5, 24) (dual of [3143, 3044, 25]-code) [i]✔
15Linear OA(5123, 3151, F5, 29) (dual of [3151, 3028, 30]-code) [i]✔
16Linear OA(5124, 3153, F5, 29) (dual of [3153, 3029, 30]-code) [i]✔
17Linear OA(5103, 3151, F5, 24) (dual of [3151, 3048, 25]-code) [i]✔
18Linear OA(5104, 3153, F5, 24) (dual of [3153, 3049, 25]-code) [i]✔
19Linear OA(5133, 3162, F5, 31) (dual of [3162, 3029, 32]-code) [i]✔
20Linear OA(5131, 3160, F5, 30) (dual of [3160, 3029, 31]-code) [i]✔
21Linear OA(5106, 3160, F5, 24) (dual of [3160, 3054, 25]-code) [i]✔
22Linear OA(5140, 3169, F5, 32) (dual of [3169, 3029, 33]-code) [i]✔
23Linear OA(5108, 3167, F5, 24) (dual of [3167, 3059, 25]-code) [i]✔
24Linear OA(5147, 3176, F5, 33) (dual of [3176, 3029, 34]-code) [i]✔
25Linear OA(5110, 3174, F5, 24) (dual of [3174, 3064, 25]-code) [i]✔
26Linear OA(5122, 3151, F5, 29) (dual of [3151, 3029, 30]-code) [i]✔
27Linear OA(5102, 3151, F5, 24) (dual of [3151, 3049, 25]-code) [i]✔
28Linear OA(5131, 3158, F5, 31) (dual of [3158, 3027, 32]-code) [i]✔
29Linear OA(5132, 3161, F5, 31) (dual of [3161, 3029, 32]-code) [i]✔
30Linear OA(5129, 3158, F5, 30) (dual of [3158, 3029, 31]-code) [i]✔
31Linear OA(5103, 3153, F5, 24) (dual of [3153, 3050, 25]-code) [i]✔
32Linear OA(5104, 3158, F5, 24) (dual of [3158, 3054, 25]-code) [i]✔
33Linear OA(5107, 3166, F5, 24) (dual of [3166, 3059, 25]-code) [i]✔
34Linear OA(5130, 3157, F5, 30) (dual of [3157, 3027, 31]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
35Linear OA(5132, 3158, F5, 31) (dual of [3158, 3026, 32]-code) [i]✔
36Linear OA(5128, 3154, F5, 30) (dual of [3154, 3026, 31]-code) [i]✔
37Linear OA(5127, 3152, F5, 30) (dual of [3152, 3025, 31]-code) [i]✔
38Linear OA(5122, 3148, F5, 29) (dual of [3148, 3026, 30]-code) [i]✔
39Linear OA(5121, 3146, F5, 29) (dual of [3146, 3025, 30]-code) [i]✔
40Linear OA(5125, 3155, F5, 29) (dual of [3155, 3030, 30]-code) [i]✔
41Linear OA(5114, 3139, F5, 28) (dual of [3139, 3025, 29]-code) [i]✔
42Linear OA(5117, 3148, F5, 28) (dual of [3148, 3031, 29]-code) [i]✔
43Linear OA(5116, 3146, F5, 28) (dual of [3146, 3030, 29]-code) [i]✔
44Linear OA(5108, 3133, F5, 27) (dual of [3133, 3025, 28]-code) [i]✔
45Linear OA(5103, 3133, F5, 26) (dual of [3133, 3030, 27]-code) [i]✔
46Linear OA(598, 3138, F5, 24) (dual of [3138, 3040, 25]-code) [i]✔
47Linear OA(5102, 3148, F5, 24) (dual of [3148, 3046, 25]-code) [i]✔
48Linear OA(5101, 3146, F5, 24) (dual of [3146, 3045, 25]-code) [i]✔
49Linear OA(5105, 3155, F5, 24) (dual of [3155, 3050, 25]-code) [i]✔
50Linear OA(5130, 3156, F5, 31) (dual of [3156, 3026, 32]-code) [i]✔