Information on Result #686656

Linear OA(895, 32793, F8, 21) (dual of [32793, 32698, 22]-code), using construction X applied to C([0,10]) ⊂ C([0,8]) based on
  1. linear OA(891, 32769, F8, 21) (dual of [32769, 32678, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
  2. linear OA(871, 32769, F8, 17) (dual of [32769, 32698, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
  3. linear OA(84, 24, F8, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,8)), 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(896, 32794, F8, 21) (dual of [32794, 32698, 22]-code) [i]Code Embedding in Larger Space
2Linear OA(897, 32795, F8, 21) (dual of [32795, 32698, 22]-code) [i]
3Linear OOA(895, 32793, F8, 2, 21) (dual of [(32793, 2), 65491, 22]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(895, 32793, F8, 3, 21) (dual of [(32793, 3), 98284, 22]-NRT-code) [i]
5Digital (74, 95, 32793)-net over F8 [i]
6Linear OA(896, 32795, F8, 21) (dual of [32795, 32699, 22]-code) [i]Construction X with VarÅ¡amov Bound
7Linear OA(897, 32797, F8, 21) (dual of [32797, 32700, 22]-code) [i]
8Linear OOA(895, 16396, F8, 2, 21) (dual of [(16396, 2), 32697, 22]-NRT-code) [i]OOA Folding
9Linear OOA(895, 10931, F8, 3, 21) (dual of [(10931, 3), 32698, 22]-NRT-code) [i]
10Linear OOA(895, 3279, F8, 21, 21) (dual of [(3279, 21), 68764, 22]-NRT-code) [i]OOA Folding and Stacking with Additional Row