Information on Result #698206

Linear OA(4943, 2403, F49, 22) (dual of [2403, 2360, 23]-code), using construction X applied to Ce(21) ⊂ Ce(20) based on
  1. linear OA(4943, 2401, F49, 22) (dual of [2401, 2358, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  2. 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]
  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(786, 4806, F7, 22) (dual of [4806, 4720, 23]-code) [i]Trace Code
2Linear OA(4954, 2453, F49, 22) (dual of [2453, 2399, 23]-code) [i](u, u+v)-Construction
3Linear OA(4955, 2456, F49, 22) (dual of [2456, 2401, 23]-code) [i]
4Linear OA(4949, 2436, F49, 22) (dual of [2436, 2387, 23]-code) [i]VarÅ¡amov–Edel Lengthening
5Linear OA(4950, 2486, F49, 22) (dual of [2486, 2436, 23]-code) [i]
6Linear OA(4951, 2609, F49, 22) (dual of [2609, 2558, 23]-code) [i]
7Linear OA(4952, 2882, F49, 22) (dual of [2882, 2830, 23]-code) [i]
8Linear OA(4953, 3363, F49, 22) (dual of [3363, 3310, 23]-code) [i]
9Linear OA(4954, 4025, F49, 22) (dual of [4025, 3971, 23]-code) [i]
10Linear OOA(4943, 1201, F49, 2, 22) (dual of [(1201, 2), 2359, 23]-NRT-code) [i]OOA Folding
11Linear OOA(4943, 801, F49, 3, 22) (dual of [(801, 3), 2360, 23]-NRT-code) [i]