Information on Result #682967

Linear OA(591, 3130, F5, 23) (dual of [3130, 3039, 24]-code), using construction X applied to Ce(22) ⊂ Ce(21) based on
  1. linear OA(591, 3125, F5, 23) (dual of [3125, 3034, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. linear OA(586, 3125, F5, 22) (dual of [3125, 3039, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  3. linear OA(50, 5, F5, 0) (dual of [5, 5, 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(596, 3152, F5, 23) (dual of [3152, 3056, 24]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OA(597, 3177, F5, 23) (dual of [3177, 3080, 24]-code) [i]
3Linear OA(598, 3227, F5, 23) (dual of [3227, 3129, 24]-code) [i]
4Linear OA(599, 3322, F5, 23) (dual of [3322, 3223, 24]-code) [i]
5Linear OA(5100, 3479, F5, 23) (dual of [3479, 3379, 24]-code) [i]
6Linear OA(5101, 3696, F5, 23) (dual of [3696, 3595, 24]-code) [i]
7Linear OA(5102, 3958, F5, 23) (dual of [3958, 3856, 24]-code) [i]
8Linear OA(5103, 4252, F5, 23) (dual of [4252, 4149, 24]-code) [i]
9Linear OA(5104, 4572, F5, 23) (dual of [4572, 4468, 24]-code) [i]
10Linear OA(5105, 4918, F5, 23) (dual of [4918, 4813, 24]-code) [i]
11Linear OOA(591, 1565, F5, 2, 23) (dual of [(1565, 2), 3039, 24]-NRT-code) [i]OOA Folding
12Linear OOA(591, 1043, F5, 3, 23) (dual of [(1043, 3), 3038, 24]-NRT-code) [i]