Information on Result #678878

Linear OA(471, 65567, F4, 11) (dual of [65567, 65496, 12]-code), using construction XX applied to Ce(10) ⊂ Ce(6) ⊂ Ce(5) based on
  1. linear OA(465, 65536, F4, 11) (dual of [65536, 65471, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  2. linear OA(441, 65536, F4, 7) (dual of [65536, 65495, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
  3. linear OA(433, 65536, F4, 6) (dual of [65536, 65503, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
  4. linear OA(45, 30, F4, 3) (dual of [30, 25, 4]-code or 30-cap in PG(4,4)), using
  5. linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-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 OOA(471, 65567, F4, 2, 11) (dual of [(65567, 2), 131063, 12]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(471, 65567, F4, 3, 11) (dual of [(65567, 3), 196630, 12]-NRT-code) [i]
3Digital (60, 71, 65567)-net over F4 [i]
4Linear OOA(471, 32783, F4, 2, 11) (dual of [(32783, 2), 65495, 12]-NRT-code) [i]OOA Folding
5Linear OOA(471, 13113, F4, 11, 11) (dual of [(13113, 11), 144172, 12]-NRT-code) [i]OOA Folding and Stacking with Additional Row