Information on Result #686314

Linear OA(8105, 2097186, F8, 17) (dual of [2097186, 2097081, 18]-code), using construction X applied to Ce(16) ⊂ Ce(11) based on
  1. 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]
  2. linear OA(871, 2097152, F8, 12) (dual of [2097152, 2097081, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
  3. linear OA(86, 34, F8, 4) (dual of [34, 28, 5]-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(8104, 2097185, F8, 16) (dual of [2097185, 2097081, 17]-code) [i]Truncation
2Linear OOA(8105, 1675291, F8, 2, 17) (dual of [(1675291, 2), 3350477, 18]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(8105, 1675291, F8, 3, 17) (dual of [(1675291, 3), 5025768, 18]-NRT-code) [i]
4Digital (88, 105, 1675291)-net over F8 [i]
5Linear OOA(8105, 1048593, F8, 2, 17) (dual of [(1048593, 2), 2097081, 18]-NRT-code) [i]OOA Folding
6Linear OOA(8105, 699062, F8, 3, 17) (dual of [(699062, 3), 2097081, 18]-NRT-code) [i]
7Linear OOA(8105, 262148, F8, 17, 17) (dual of [(262148, 17), 4456411, 18]-NRT-code) [i]OOA Folding and Stacking with Additional Row