Information on Result #693429

Linear OA(2582, 15628, F25, 29) (dual of [15628, 15546, 30]-code), using construction X applied to Ce(28) ⊂ Ce(27) based on
  1. linear OA(2582, 15625, F25, 29) (dual of [15625, 15543, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
  2. linear OA(2579, 15625, F25, 28) (dual of [15625, 15546, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
  3. linear OA(250, 3, F25, 0) (dual of [3, 3, 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(25100, 15694, F25, 29) (dual of [15694, 15594, 30]-code) [i](u, u+v)-Construction
2Linear OA(25101, 15696, F25, 29) (dual of [15696, 15595, 30]-code) [i]
3Linear OA(25102, 15698, F25, 29) (dual of [15698, 15596, 30]-code) [i]
4Linear OA(25103, 15700, F25, 29) (dual of [15700, 15597, 30]-code) [i]
5Linear OA(25104, 15702, F25, 29) (dual of [15702, 15598, 30]-code) [i]
6Linear OA(25105, 15732, F25, 29) (dual of [15732, 15627, 30]-code) [i]
7Linear OA(25106, 15754, F25, 29) (dual of [15754, 15648, 30]-code) [i]
8Linear OA(25107, 15786, F25, 29) (dual of [15786, 15679, 30]-code) [i]
9Linear OA(25108, 15942, F25, 29) (dual of [15942, 15834, 30]-code) [i]
10Linear OOA(2582, 7814, F25, 2, 29) (dual of [(7814, 2), 15546, 30]-NRT-code) [i]OOA Folding