Information on Result #698208

Linear OA(4941, 2403, F49, 21) (dual of [2403, 2362, 22]-code), using construction X applied to Ce(20) ⊂ Ce(19) based on
  1. linear OA(4941, 2401, F49, 21) (dual of [2401, 2360, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  2. linear OA(4939, 2401, F49, 20) (dual of [2401, 2362, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(782, 4806, F7, 21) (dual of [4806, 4724, 22]-code) [i]Trace Code
2Linear OA(4951, 2453, F49, 21) (dual of [2453, 2402, 22]-code) [i](u, u+v)-Construction
3Linear OA(4952, 2456, F49, 21) (dual of [2456, 2404, 22]-code) [i]
4Linear OA(4953, 2458, F49, 21) (dual of [2458, 2405, 22]-code) [i]
5Linear OA(4954, 2460, F49, 21) (dual of [2460, 2406, 22]-code) [i]
6Linear OA(4955, 2462, F49, 21) (dual of [2462, 2407, 22]-code) [i]
7Linear OA(4946, 2420, F49, 21) (dual of [2420, 2374, 22]-code) [i]VarÅ¡amov–Edel Lengthening
8Linear OA(4947, 2445, F49, 21) (dual of [2445, 2398, 22]-code) [i]
9Linear OA(4948, 2509, F49, 21) (dual of [2509, 2461, 22]-code) [i]
10Linear OA(4949, 2665, F49, 21) (dual of [2665, 2616, 22]-code) [i]
11Linear OA(4950, 2997, F49, 21) (dual of [2997, 2947, 22]-code) [i]
12Linear OA(4951, 3555, F49, 21) (dual of [3555, 3504, 22]-code) [i]
13Linear OA(4952, 4302, F49, 21) (dual of [4302, 4250, 22]-code) [i]
14Linear OOA(4941, 801, F49, 3, 21) (dual of [(801, 3), 2362, 22]-NRT-code) [i]OOA Folding