Information on Result #698509

Linear OA(6437, 262159, F64, 12) (dual of [262159, 262122, 13]-code), using construction X applied to Ce(11) ⊂ Ce(7) based on
  1. linear OA(6434, 262144, F64, 12) (dual of [262144, 262110, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
  2. linear OA(6422, 262144, F64, 8) (dual of [262144, 262122, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
  3. linear OA(643, 15, F64, 3) (dual of [15, 12, 4]-code or 15-arc in PG(2,64) or 15-cap in PG(2,64)), 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(6437, 228495, F64, 2, 12) (dual of [(228495, 2), 456953, 13]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(6437, 228495, F64, 3, 12) (dual of [(228495, 3), 685448, 13]-NRT-code) [i]
3Digital (25, 37, 228495)-net over F64 [i]
4Linear OOA(6437, 131079, F64, 2, 12) (dual of [(131079, 2), 262121, 13]-NRT-code) [i]OOA Folding
5Linear OOA(6437, 87386, F64, 3, 12) (dual of [(87386, 3), 262121, 13]-NRT-code) [i]
6Linear OOA(6437, 43693, F64, 12, 12) (dual of [(43693, 12), 524279, 13]-NRT-code) [i]OA Folding and Stacking