Information on Result #698221

Linear OA(4923, 2403, F49, 12) (dual of [2403, 2380, 13]-code), using construction X applied to Ce(11) ⊂ Ce(10) based on
  1. 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]
  2. linear OA(4921, 2401, F49, 11) (dual of [2401, 2380, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(746, 4806, F7, 12) (dual of [4806, 4760, 13]-code) [i]Trace Code
2Linear OA(4929, 2453, F49, 12) (dual of [2453, 2424, 13]-code) [i](u, u+v)-Construction
3Linear OA(4930, 2456, F49, 12) (dual of [2456, 2426, 13]-code) [i]
4Linear OA(4931, 2458, F49, 12) (dual of [2458, 2427, 13]-code) [i]
5Linear OA(4932, 2505, F49, 12) (dual of [2505, 2473, 13]-code) [i]
6Linear OA(4926, 2413, F49, 12) (dual of [2413, 2387, 13]-code) [i]VarÅ¡amov–Edel Lengthening
7Linear OA(4927, 2456, F49, 12) (dual of [2456, 2429, 13]-code) [i]
8Linear OA(4928, 2620, F49, 12) (dual of [2620, 2592, 13]-code) [i]
9Linear OA(4929, 3118, F49, 12) (dual of [3118, 3089, 13]-code) [i]
10Linear OA(4930, 4200, F49, 12) (dual of [4200, 4170, 13]-code) [i]
11Linear OA(4931, 5939, F49, 12) (dual of [5939, 5908, 13]-code) [i]
12Linear OOA(4923, 1201, F49, 2, 12) (dual of [(1201, 2), 2379, 13]-NRT-code) [i]OOA Folding
13Linear OOA(4923, 801, F49, 3, 12) (dual of [(801, 3), 2380, 13]-NRT-code) [i]