Information on Result #698492

Linear OA(6436, 262155, F64, 12) (dual of [262155, 262119, 13]-code), using construction X applied to Ce(11) ⊂ Ce(8) 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(6425, 262144, F64, 9) (dual of [262144, 262119, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
  3. linear OA(642, 11, F64, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,64)), 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
1OA(1654, 262155, S16, 12) [i]Discarding Parts of the Base for OAs
2OA(3244, 262155, S32, 12) [i]
3Linear OOA(6436, 150749, F64, 2, 12) (dual of [(150749, 2), 301462, 13]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(6436, 150749, F64, 3, 12) (dual of [(150749, 3), 452211, 13]-NRT-code) [i]
5Digital (24, 36, 150749)-net over F64 [i]
6Linear OOA(6436, 131077, F64, 2, 12) (dual of [(131077, 2), 262118, 13]-NRT-code) [i]OOA Folding
7Linear OOA(6436, 87385, F64, 3, 12) (dual of [(87385, 3), 262119, 13]-NRT-code) [i]
8Linear OOA(6436, 43692, F64, 12, 12) (dual of [(43692, 12), 524268, 13]-NRT-code) [i]OA Folding and Stacking