Information on Result #698217

Linear OA(4929, 2403, F49, 15) (dual of [2403, 2374, 16]-code), using construction X applied to Ce(14) ⊂ Ce(13) based on
  1. linear OA(4929, 2401, F49, 15) (dual of [2401, 2372, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
  2. linear OA(4927, 2401, F49, 14) (dual of [2401, 2374, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(758, 4806, F7, 15) (dual of [4806, 4748, 16]-code) [i]Trace Code
2Linear OA(4936, 2453, F49, 15) (dual of [2453, 2417, 16]-code) [i](u, u+v)-Construction
3Linear OA(4937, 2456, F49, 15) (dual of [2456, 2419, 16]-code) [i]
4Linear OA(4938, 2458, F49, 15) (dual of [2458, 2420, 16]-code) [i]
5Linear OA(4939, 2503, F49, 15) (dual of [2503, 2464, 16]-code) [i]
6Linear OA(4940, 2553, F49, 15) (dual of [2553, 2513, 16]-code) [i]
7Linear OA(4941, 2646, F49, 15) (dual of [2646, 2605, 16]-code) [i]
8Linear OA(4933, 2418, F49, 15) (dual of [2418, 2385, 16]-code) [i]VarÅ¡amov–Edel Lengthening
9Linear OA(4934, 2455, F49, 15) (dual of [2455, 2421, 16]-code) [i]
10Linear OA(4935, 2580, F49, 15) (dual of [2580, 2545, 16]-code) [i]
11Linear OA(4936, 2947, F49, 15) (dual of [2947, 2911, 16]-code) [i]
12Linear OA(4937, 3720, F49, 15) (dual of [3720, 3683, 16]-code) [i]
13Linear OA(4938, 4883, F49, 15) (dual of [4883, 4845, 16]-code) [i]
14Linear OOA(4929, 801, F49, 3, 15) (dual of [(801, 3), 2374, 16]-NRT-code) [i]OOA Folding