Information on Result #686868

Linear OA(8148, 32800, F8, 33) (dual of [32800, 32652, 34]-code), using construction X applied to Ce(32) ⊂ Ce(26) based on
  1. linear OA(8141, 32768, F8, 33) (dual of [32768, 32627, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
  2. linear OA(8116, 32768, F8, 27) (dual of [32768, 32652, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
  3. linear OA(87, 32, F8, 5) (dual of [32, 25, 6]-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(8149, 32801, F8, 33) (dual of [32801, 32652, 34]-code) [i]Code Embedding in Larger Space
2Linear OA(8150, 32802, F8, 33) (dual of [32802, 32652, 34]-code) [i]
3Linear OA(8147, 32799, F8, 32) (dual of [32799, 32652, 33]-code) [i]Truncation
4Linear OOA(8148, 32800, F8, 2, 33) (dual of [(32800, 2), 65452, 34]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
5Linear OOA(8148, 32800, F8, 3, 33) (dual of [(32800, 3), 98252, 34]-NRT-code) [i]
6Digital (115, 148, 32800)-net over F8 [i]
7Linear OA(8149, 32802, F8, 33) (dual of [32802, 32653, 34]-code) [i]Construction X with VarÅ¡amov Bound
8Linear OA(8150, 32804, F8, 33) (dual of [32804, 32654, 34]-code) [i]
9Linear OOA(8148, 16400, F8, 2, 33) (dual of [(16400, 2), 32652, 34]-NRT-code) [i]OOA Folding
10Linear OOA(8148, 10933, F8, 3, 33) (dual of [(10933, 3), 32651, 34]-NRT-code) [i]