Information on Result #678009

Linear OA(496, 4194347, F4, 11) (dual of [4194347, 4194251, 12]-code), using construction X applied to Ce(10) ⊂ Ce(5) based on
  1. linear OA(489, 4194304, F4, 11) (dual of [4194304, 4194215, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  2. linear OA(445, 4194304, F4, 6) (dual of [4194304, 4194259, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
  3. linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-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(496, 2097173, F4, 2, 11) (dual of [(2097173, 2), 4194250, 12]-NRT-code) [i]OOA Folding
2Linear OOA(496, 1398115, F4, 3, 11) (dual of [(1398115, 3), 4194249, 12]-NRT-code) [i]
3Linear OOA(496, 838869, F4, 11, 11) (dual of [(838869, 11), 9227463, 12]-NRT-code) [i]OOA Folding and Stacking with Additional Row