Information on Result #698525

Linear OA(6450, 262163, F64, 16) (dual of [262163, 262113, 17]-code), using construction X applied to Ce(15) ⊂ Ce(10) based on
  1. linear OA(6446, 262144, F64, 16) (dual of [262144, 262098, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  2. linear OA(6431, 262144, F64, 11) (dual of [262144, 262113, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  3. linear OA(644, 19, F64, 4) (dual of [19, 15, 5]-code or 19-arc in PG(3,64)), 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(3260, 262163, S32, 16) [i]Discarding Parts of the Base for OAs
2Linear OOA(6450, 201249, F64, 2, 16) (dual of [(201249, 2), 402448, 17]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(6450, 201249, F64, 3, 16) (dual of [(201249, 3), 603697, 17]-NRT-code) [i]
4Digital (34, 50, 201249)-net over F64 [i]
5Linear OOA(6450, 131081, F64, 2, 16) (dual of [(131081, 2), 262112, 17]-NRT-code) [i]OOA Folding
6Linear OOA(6450, 87387, F64, 3, 16) (dual of [(87387, 3), 262111, 17]-NRT-code) [i]
7Linear OOA(6450, 32770, F64, 16, 16) (dual of [(32770, 16), 524270, 17]-NRT-code) [i]OA Folding and Stacking