Information on Result #686386

Linear OA(8125, 2097179, F8, 20) (dual of [2097179, 2097054, 21]-code), using construction XX applied to Ce(19) ⊂ Ce(16) ⊂ Ce(14) based on
  1. linear OA(8120, 2097152, F8, 20) (dual of [2097152, 2097032, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
  2. linear OA(899, 2097152, F8, 17) (dual of [2097152, 2097053, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  3. linear OA(892, 2097152, F8, 15) (dual of [2097152, 2097060, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
  4. linear OA(83, 25, F8, 2) (dual of [25, 22, 3]-code), using
  5. linear OA(81, 2, F8, 1) (dual of [2, 1, 2]-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(8125, 1796040, F8, 2, 20) (dual of [(1796040, 2), 3591955, 21]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8125, 1796040, F8, 3, 20) (dual of [(1796040, 3), 5387995, 21]-NRT-code) [i]
3Digital (105, 125, 1796040)-net over F8 [i]