Information on Result #682959

Linear OA(5121, 3125, F5, 31) (dual of [3125, 3004, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31

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(5121, 2257, F5, 2, 31) (dual of [(2257, 2), 4393, 32]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(5121, 2257, F5, 3, 31) (dual of [(2257, 3), 6650, 32]-NRT-code) [i]
3Digital (90, 121, 2257)-net over F5 [i]
4Linear OA(5126, 3130, F5, 32) (dual of [3130, 3004, 33]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(5122, 3131, F5, 31) (dual of [3131, 3009, 32]-code) [i]✔
6Linear OA(5122, 3136, F5, 30) (dual of [3136, 3014, 31]-code) [i]✔
7Linear OA(5124, 3138, F5, 31) (dual of [3138, 3014, 32]-code) [i]✔
8Linear OA(5139, 3143, F5, 34) (dual of [3143, 3004, 35]-code) [i]✔
9Linear OA(5125, 3144, F5, 31) (dual of [3144, 3019, 32]-code) [i]✔
10Linear OA(5148, 3151, F5, 36) (dual of [3151, 3003, 37]-code) [i]✔
11Linear OA(5149, 3153, F5, 36) (dual of [3153, 3004, 37]-code) [i]✔
12Linear OA(5128, 3151, F5, 31) (dual of [3151, 3023, 32]-code) [i]✔
13Linear OA(5129, 3153, F5, 31) (dual of [3153, 3024, 32]-code) [i]✔
14Linear OA(5125, 3149, F5, 30) (dual of [3149, 3024, 31]-code) [i]✔
15Linear OA(5133, 3162, F5, 31) (dual of [3162, 3029, 32]-code) [i]✔
16Linear OA(5131, 3160, F5, 30) (dual of [3160, 3029, 31]-code) [i]✔
17Linear OA(5137, 3176, F5, 31) (dual of [3176, 3039, 32]-code) [i]✔
18Linear OA(5135, 3174, F5, 30) (dual of [3174, 3039, 31]-code) [i]✔
19Linear OA(5147, 3151, F5, 36) (dual of [3151, 3004, 37]-code) [i]✔
20Linear OA(5127, 3151, F5, 31) (dual of [3151, 3024, 32]-code) [i]✔
21Linear OA(5131, 3158, F5, 31) (dual of [3158, 3027, 32]-code) [i]✔
22Linear OA(5132, 3161, F5, 31) (dual of [3161, 3029, 32]-code) [i]✔
23Linear OA(5129, 3158, F5, 30) (dual of [3158, 3029, 31]-code) [i]✔
24Linear OA(5147, 3148, F5, 36) (dual of [3148, 3001, 37]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
25Linear OA(5146, 3146, F5, 36) (dual of [3146, 3000, 37]-code) [i]✔
26Linear OA(5150, 3157, F5, 35) (dual of [3157, 3007, 36]-code) [i]✔
27Linear OA(5148, 3154, F5, 35) (dual of [3154, 3006, 36]-code) [i]✔
28Linear OA(5138, 3138, F5, 34) (dual of [3138, 3000, 35]-code) [i]✔
29Linear OA(5142, 3148, F5, 34) (dual of [3148, 3006, 35]-code) [i]✔
30Linear OA(5141, 3146, F5, 34) (dual of [3146, 3005, 35]-code) [i]✔
31Linear OA(5128, 3133, F5, 32) (dual of [3133, 3005, 33]-code) [i]✔
32Linear OA(5123, 3133, F5, 31) (dual of [3133, 3010, 32]-code) [i]✔
33Linear OA(5123, 3138, F5, 30) (dual of [3138, 3015, 31]-code) [i]✔
34Linear OA(5127, 3148, F5, 31) (dual of [3148, 3021, 32]-code) [i]✔
35Linear OA(5126, 3146, F5, 31) (dual of [3146, 3020, 32]-code) [i]✔
36Linear OA(5130, 3157, F5, 30) (dual of [3157, 3027, 31]-code) [i]✔
37Linear OA(5132, 3158, F5, 31) (dual of [3158, 3026, 32]-code) [i]✔
38Linear OA(5128, 3154, F5, 30) (dual of [3154, 3026, 31]-code) [i]✔
39Linear OA(5127, 3152, F5, 30) (dual of [3152, 3025, 31]-code) [i]✔
40Linear OA(5150, 3156, F5, 36) (dual of [3156, 3006, 37]-code) [i]✔
41Linear OA(5149, 3154, F5, 36) (dual of [3154, 3005, 37]-code) [i]✔
42Linear OA(5130, 3156, F5, 31) (dual of [3156, 3026, 32]-code) [i]✔