Information on Result #677881

Linear OA(4140, 4194348, F4, 16) (dual of [4194348, 4194208, 17]-code), using construction X applied to C([0,8]) ⊂ C([0,5]) based on
  1. linear OA(4133, 4194305, F4, 17) (dual of [4194305, 4194172, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 4194305 | 422−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
  2. linear OA(489, 4194305, F4, 11) (dual of [4194305, 4194216, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 4194305 | 422−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [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(4140, 2097174, F4, 2, 16) (dual of [(2097174, 2), 4194208, 17]-NRT-code) [i]OOA Folding
2Linear OOA(4140, 1398116, F4, 3, 16) (dual of [(1398116, 3), 4194208, 17]-NRT-code) [i]
3Linear OOA(4140, 524293, F4, 16, 16) (dual of [(524293, 16), 8388548, 17]-NRT-code) [i]OA Folding and Stacking