Information on Result #698224

Linear OA(4919, 2403, F49, 10) (dual of [2403, 2384, 11]-code), using construction X applied to Ce(9) ⊂ Ce(8) based on
  1. linear OA(4919, 2401, F49, 10) (dual of [2401, 2382, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
  2. linear OA(4917, 2401, F49, 9) (dual of [2401, 2384, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(738, 4806, F7, 10) (dual of [4806, 4768, 11]-code) [i]Trace Code
2Linear OA(4924, 2453, F49, 10) (dual of [2453, 2429, 11]-code) [i](u, u+v)-Construction
3Linear OA(4925, 2456, F49, 10) (dual of [2456, 2431, 11]-code) [i]
4Linear OA(4926, 4756, F49, 10) (dual of [4756, 4730, 11]-code) [i]
5Linear OA(4922, 2420, F49, 10) (dual of [2420, 2398, 11]-code) [i]VarÅ¡amov–Edel Lengthening
6Linear OA(4923, 2509, F49, 10) (dual of [2509, 2486, 11]-code) [i]
7Linear OA(4924, 2978, F49, 10) (dual of [2978, 2954, 11]-code) [i]
8Linear OA(4925, 4306, F49, 10) (dual of [4306, 4281, 11]-code) [i]
9Linear OA(4926, 6602, F49, 10) (dual of [6602, 6576, 11]-code) [i]
10Linear OOA(4919, 1201, F49, 2, 10) (dual of [(1201, 2), 2383, 11]-NRT-code) [i]OOA Folding
11Linear OOA(4919, 801, F49, 3, 10) (dual of [(801, 3), 2384, 11]-NRT-code) [i]