Information on Result #686291

Linear OA(8130, 2097176, F8, 21) (dual of [2097176, 2097046, 22]-code), using construction X applied to Ce(20) ⊂ Ce(17) based on
  1. linear OA(8127, 2097152, F8, 21) (dual of [2097152, 2097025, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  2. linear OA(8106, 2097152, F8, 18) (dual of [2097152, 2097046, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
  3. linear OA(83, 24, F8, 2) (dual of [24, 21, 3]-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 OOA(8130, 1533275, F8, 2, 21) (dual of [(1533275, 2), 3066420, 22]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8130, 1533275, F8, 3, 21) (dual of [(1533275, 3), 4599695, 22]-NRT-code) [i]
3Digital (109, 130, 1533275)-net over F8 [i]
4Linear OOA(8130, 1048588, F8, 2, 21) (dual of [(1048588, 2), 2097046, 22]-NRT-code) [i]OOA Folding
5Linear OOA(8130, 699058, F8, 3, 21) (dual of [(699058, 3), 2097044, 22]-NRT-code) [i]
6Linear OOA(8130, 209717, F8, 21, 21) (dual of [(209717, 21), 4403927, 22]-NRT-code) [i]OOA Folding and Stacking with Additional Row