Information on Result #682956

Linear OA(5131, 3125, F5, 33) (dual of [3125, 2994, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33

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(5131, 2628, F5, 2, 33) (dual of [(2628, 2), 5125, 34]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(5131, 2628, F5, 3, 33) (dual of [(2628, 3), 7753, 34]-NRT-code) [i]
3Digital (98, 131, 2628)-net over F5 [i]
4Linear OA(5136, 3130, F5, 34) (dual of [3130, 2994, 35]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(5131, 3130, F5, 33) (dual of [3130, 2999, 34]-code) [i]✔
6Linear OA(5144, 3138, F5, 36) (dual of [3138, 2994, 37]-code) [i]✔
7Linear OA(5150, 3144, F5, 37) (dual of [3144, 2994, 38]-code) [i]✔
8Linear OA(5135, 3144, F5, 33) (dual of [3144, 3009, 34]-code) [i]✔
9Linear OA(5138, 3151, F5, 33) (dual of [3151, 3013, 34]-code) [i]✔
10Linear OA(5139, 3153, F5, 33) (dual of [3153, 3014, 34]-code) [i]✔
11Linear OA(5141, 3160, F5, 33) (dual of [3160, 3019, 34]-code) [i]✔
12Linear OA(5143, 3167, F5, 33) (dual of [3167, 3024, 34]-code) [i]✔
13Linear OA(5147, 3176, F5, 33) (dual of [3176, 3029, 34]-code) [i]✔
14Linear OA(5137, 3151, F5, 33) (dual of [3151, 3014, 34]-code) [i]✔
15Linear OA(5139, 3158, F5, 33) (dual of [3158, 3019, 34]-code) [i]✔
16Linear OA(5142, 3166, F5, 33) (dual of [3166, 3024, 34]-code) [i]✔
17Linear OA(5143, 3133, F5, 36) (dual of [3133, 2990, 37]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
18Linear OA(5137, 3148, F5, 33) (dual of [3148, 3011, 34]-code) [i]✔
19Linear OA(5136, 3146, F5, 33) (dual of [3146, 3010, 34]-code) [i]✔
20Linear OA(5140, 3155, F5, 33) (dual of [3155, 3015, 34]-code) [i]✔