Information on Result #698220

Linear OA(4925, 2403, F49, 13) (dual of [2403, 2378, 14]-code), using construction X applied to Ce(12) ⊂ Ce(11) based on
  1. linear OA(4925, 2401, F49, 13) (dual of [2401, 2376, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  2. linear OA(4923, 2401, F49, 12) (dual of [2401, 2378, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
  3. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code), using

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(750, 4806, F7, 13) (dual of [4806, 4756, 14]-code) [i]Trace Code
2Linear OA(4931, 2453, F49, 13) (dual of [2453, 2422, 14]-code) [i](u, u+v)-Construction
3Linear OA(4932, 2456, F49, 13) (dual of [2456, 2424, 14]-code) [i]
4Linear OA(4933, 2458, F49, 13) (dual of [2458, 2425, 14]-code) [i]
5Linear OA(4934, 2505, F49, 13) (dual of [2505, 2471, 14]-code) [i]
6Linear OA(4935, 2645, F49, 13) (dual of [2645, 2610, 14]-code) [i]
7Linear OA(4929, 2439, F49, 13) (dual of [2439, 2410, 14]-code) [i]VarÅ¡amov–Edel Lengthening
8Linear OA(4930, 2537, F49, 13) (dual of [2537, 2507, 14]-code) [i]
9Linear OA(4931, 2847, F49, 13) (dual of [2847, 2816, 14]-code) [i]
10Linear OA(4932, 3607, F49, 13) (dual of [3607, 3575, 14]-code) [i]
11Linear OA(4933, 4912, F49, 13) (dual of [4912, 4879, 14]-code) [i]
12Linear OOA(4925, 801, F49, 3, 13) (dual of [(801, 3), 2378, 14]-NRT-code) [i]OOA Folding