Information on Result #613965

Linear OA(5131, 3126, F5, 33) (dual of [3126, 2995, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound)

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(5150, 3149, F5, 33) (dual of [3149, 2999, 34]-code) [i](u, u+v)-Construction
2Linear OA(5147, 3143, F5, 33) (dual of [3143, 2996, 34]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(5142, 3137, F5, 35) (dual of [3137, 2995, 36]-code) [i]✔
4Linear OA(5132, 3137, F5, 33) (dual of [3137, 3005, 34]-code) [i]✔
5Linear OA(5138, 3147, F5, 33) (dual of [3147, 3009, 34]-code) [i]✔
6Linear OA(5139, 3150, F5, 33) (dual of [3150, 3011, 34]-code) [i]✔
7Linear OA(5140, 3153, F5, 33) (dual of [3153, 3013, 34]-code) [i]✔
8Linear OA(5141, 3156, F5, 33) (dual of [3156, 3015, 34]-code) [i]✔
9Linear OA(5138, 3152, F5, 32) (dual of [3152, 3014, 33]-code) [i]✔
10Linear OA(5139, 3154, F5, 32) (dual of [3154, 3015, 33]-code) [i]✔
11Linear OA(5145, 3170, F5, 33) (dual of [3170, 3025, 34]-code) [i]✔
12Linear OA(5143, 3168, F5, 32) (dual of [3168, 3025, 33]-code) [i]✔
13Linear OA(5149, 3178, F5, 33) (dual of [3178, 3029, 34]-code) [i]✔
14Linear OA(5147, 3178, F5, 32) (dual of [3178, 3031, 33]-code) [i]✔
15Linear OA(5149, 3184, F5, 32) (dual of [3184, 3035, 33]-code) [i]✔
16Linear OA(5138, 3153, F5, 33) (dual of [3153, 3015, 34]-code) [i]✔
17Linear OA(5150, 3182, F5, 33) (dual of [3182, 3032, 34]-code) [i]✔